Rapid Access to the Interstellar Medium via Solar Thermal Propulsion

Leon Alkalai,Jonathan Sauder,Michael Preudhomme, Juergen Mueller,Dean Cheikh,Eric Sunada, Reza Karimi, Abby Couto, Jacqueline Rapinchuk,Nitin Arora, Thomas Peeve,Kevin Anderson, Jaymee Panian

crossref(2020)

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摘要
<p>To access the interstellar medium with current approaches requires 30 to 40 years, significantly longer than most mission lifetimes. The goal of this study was to explore mission concepts that will reach the interstellar medium in a primary mission&#8217;s lifetime (15 years or less). Faster access to the interstellar medium would allow high-capability science probes, with many relevant instruments, to explore the galaxy beyond our solar system in-situ. Science targets include the hydrogen wall structure, bow wave/shock, gravitational lens, foreground emissions and interstellar dust, just to name a few. Further, such a capability would enable rapid exploration of Kuiper belt objects in a much shorter time frame than current methods. Finally, distant targets include the solar gravitational lens, which may enable direct imaging of exoplanets.</p> <p><img src="data:image/jpeg;base64, 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1QRNkVPXUndHJsxcZqF0wwNWBSMM1z1oXOuhUszT0C2trq5ZLy4MC7MqwGSWyBjHfqfyrqIfDti80UEes27TMdrAAEE7scfN6Y6/yri4V6VehrzWrOx7tO8ldM6q30nTPM23GqxlPLZtyDHzAgAfjnP0BrF17T7bT54VtbtLosCXZCCoOe1S2VwI1KSxJLExyVIwR7huoP6eoNLe2AmjMtkxlVRuZCMSIPcdx7j8cVE1eJSTUrsq2x+WrBGUYe1VLU1cWvGqK1z0XrFHmPiWLytRf3NZQPNdJ40i23gaubHfoPTPevcw8uammfNV48tRodnrx1Oav2A2wsM9WrOPr09K1dOXMQDYGWrZER3LwG2FQOh5q1GdsKimSKNiD2p4BKik3c6IqxJYr++JrqNO5jOetc5ZjLHNbtjJ2FJlluZtoNUWPytVqY1Tl4WtIj6FUndMo9612b5fwrET/j4/GtUsAvzZxnnFKYmhbe4cXO75WONvzKDxjFa1rK7yLvYsMcVhW7bpSQAPpWzp3L4p3M5xujaaLbGMDrVaVA3UZK1pFf3ag88VSli+YnOB1NXFHHOWho2miS3mnxTJPBE0r7AJWwAMgA5HYnd+CMazJPC13J5TLc2n70xgbnI2s6q2DxxgOuT0688Gq8jAhvToazZUy3GauSZnS0ZsWfhm6ukV47i2KyIGjJYjcS6xgcgYJLA8445q1D4VmeF/9Lg80EqqKc7j8o6nGOX/APHW9KwI1AUZpVHz89BzRFMuUjZm8P3EMsEbywNJcOEjRWOclVPOQMD5wDnuCOxrR/4RN1hm+z31tIFKmMk43RlN28+nVRt6854FY1nEvlkvwOufSs26l89iqZEQPA9fetJ6IyjJLQ128LXUsO9LmEO5XylB4cMAQQTgYy8Q/wC2nOMEVTj8NXqw7557aNdrOA7tkgAnpjPTaef76dzWaYx5RxnOaruNn1rB3Gpali+gewvprZ3R3hkaNmRtykqccHuKdNd+bHgYA7CqZBYcc0i4C7RzzkmpQ5JCN1XPJzjFEhUNt6YoDiNWYfMRx9KpsxEuM5YjJNMycS6x2jkjNMkcg59sVVZzznrnFNZiGPpj1pEKBcjkyvXtTJX3LgfSqisfXio7lzuVVPNA+XUq3rYY5yAD2NZcjbWKlv3Z68ZOK3NrXsaxHHU5IX5jn/8AVVHUNHuFkQRM04c7BtHOegFRJpOx20qcnHmWyMRycrtyGHPJxiu7+HF54asZLz/hLLSW6zCwiETfdcH2Iz+o9jXN2NlHp+sC21y2nO1iskCHZL0IxyDg5xwRWXfWk1nMRKkke7nDLjPvUtXVjeDs+Y7X4f6fPqviVodJt4LiWRZI1juI1dMMhBODxkAkg/T0rG8WaFe+HteltbpSJYzhgRu/+tit/wAH219onhi48U2N/aQtDcCDyfOIn3EZ3Be45/n6VjHxdeTatPqF7FHeyyI6OZxvB3AjP1qrK2u4LV6bGJIUuppZpZ44ZHcsyRxhVBPPAGAB7DiiqE1zukYhMc9AKKnQ1TRtYpKfSYouYWG00inkUlNMVhmKbipCKaatMloZimmn0hpiGGkp1JVEsSkpaSmISnKcUlAoAuwPV1TkVmQtg1fhORXTTlc56kepOKdSCnCtJK6Ig7MtQr8oqzHwaht/uCt7StVt7Oz8ibTobhxN5qys2COnH6H868ytHW57mFqe7YpxVOCy4ZCVZTkEHBBrftdS0y7ysWhI0zAkr54B6j7vGSfb+fNZ+p3EM8iLDZLaGMFXXJJJz36Yx0rBrQ7E9dihe3sl9cRvMkKukaxlo4wm/HdsdW9T1PehDzUMq7XzUqHkV5FZe8zvivcOR8dR8K1cWP1r0DxrHus93pXAL144r0sBK9JHg41Wqse2McYrRsceUMdCaqKFEIYkdeRmr9soEafXrmuw547mpLxtHoBT1JKrzimSnOD7VJGMhfTHNSkbos2wwprQtXxyeKpoAE4qxETtIxzTsWXnfK/hUExx+Vaeh6pHZwTQz2y3McpXcjNgYGfb3/Sp5dVsBvMukq2QQu2QAICznj5T/eA59Ppi0M5qHm4GK0hMpgaORS3BKEHGG468cj2rRs9esFnneTRIJI2fKIXHyLsC7c7fbOff15qxBr1jFtP9i25YBcENgAjv0zz9cVM9w+Rg2Y2sdwPWt3SwHcMAQOKkXW7JrqSUaYscUiAMnm5LnBBJO3kHIOOOVBrXg1GxntEjt9MW2G9XciTO7APHTjr+lTcibaQ4vgCqNw+c1LNID91cY/Wqcr9c1vTZxziRswqtwcY6mllbPHYVFuJxmtmzJR1Jl5x65qzAi5AZScmo4Y8jdViNgrbz/CMihGc5W0HXjf8ALIHAAw2P5VlyjnjgZq8dqRGR8lm55rOY733E89s0pamcN7jjxwOlQTJkk44qdx8vA59qhmYldozxWcjSG5WZsYxUEsmK6KXW4JEtfM0yN5oBGDM0mWYKRnt3x3zVddasQjRT6T5yEtgNPyMsT125zyOfUenFQbWMOM/uyPU80LbkuxPA6/WtK/liu5/Nt7dbaPaqiJWztwPXA/z69ar8QqSeW5ABqjGT10KvlYGKqXUmxtuMD19auO+FYE/n2rKunLA7myc0girvUespxmmynpgj1pkI7E9KXIDLkBh6etIq2pq+Fdd/sDW7e/aGObyW3iOTkH/PaprrWf8AhJPFj3O1LT7RL5mIztVDnqPy61ztzIiuzFQUbIAB6Hr/AIfXmtnwXFojfb5Nduri1dLdjbC3TJeYfdU+3+cik4Ju5vCcoxsje+LXh6Pwxq1teRamt7cP/pDSKdzbs5JOSee+c815trGrT6zqEt5qD+bNIfmJ459vT+VWry7u7/zUDNIOhyAcKCD/AEpk+kXFlY2t5JC/2efdgg8NtwD+p7ipk03oawvaxmRzSoo8wuI/bnFbFjFLeWF5DYWvnpHi5kl8rLoi5UknsuWGffFWdX1LTrvw/YW9rYJHewhjPc+YSZsn5fl6DaOOOvesnRLa9urlra1R23YV9mccnv8AWpHezsUp0/eHzTh+/wAuKK9yj+BF/cwxStcRRMyKWSUkMpxyOM96K09hUfRi9tTXU8rpCKnaF16qRURFYXLsMxSEU8000ybDKQin4ptUmJojNIaewpprRMhjDTaeabVEsaaSlNJTJCiiigB6HBq9btVBatW5rSm7MmotDRXpT1qOM1ItdRyrcu2/3asiq0PCirSVx1o3PTwsrMnhrUivZCqpcKtxGBgCTkqPZuoHtnHtWXHVpa4j2Ny5eW9k9i88NyyThwBayISSuDlg4GOOOCB19uc9DVhxlKjeFokjclSHGRg/5/zx1Bry68W5No600opN7mV4qhSXR32hjMpJPPBXHYeorzFRhsEDNeo+IAfsDFSQQMgjtXmzTRu58+HJ7sjbSfrxj9K6MufuNHkZgl7RMbBDJPLHDH9+R1UZ45J4rp4NB1JNga3yCMn51wMHHr9PzrnFaFXBE06kHIwgyuPfdW3b3TmRM3t3xwM5/wDiq9G6sccIu5sXWhahFB5rQjaF3thh8qjv6Y5q8vh6/Roh5aMr4AYOMYzjOfTOfyNY813I2Ua9uyrjDA9CPf5qtw3kiMvl3l0MDjHb/wAepRZvZiRgFRkkA5zxVmMcAnmqa9DgkjsSMVeh+4o49au5aGrxJj3qW6b5SBRKmJRTbrBGO4qkWiOFf3Q9zT+wp0IzCOOgppOTj8qznuFiSM5YDtXRWLBYvlPTj61zSHDCt2yYCPAqEZVDThlVG3SF9pOGVf4hVGZxzjIz2pZWwuDVOWUk8nNbxdjmauKW+UgjNPi5PyAD61qafZaVcafG9zfGCZg25iciNt4AGzG5gVJOQf5c27fTNIWaBZdZG2SVUk2RDManOSTuI446Z6/hWiZjJGehwmGPPanLtyQ3Iqqz7CQpzg4BqQSZjI/irS5zSi0yC+l3Nt7f0qh5nz5qeYlmJOfaqoA3c1Ddyox6FvJeNSOMHmlVTgkjOPakgOOCuQTjFXDw7BcbSoWixoo2Mu4ibccjHANVxGA3TnpmtiY7gwbnA4qiABz3oUSiAnyhtH3scmoW52nuOadM2efzpvTaRyfSk0ZSRRuJTGjLtyCeSazZizOvuau6i3mXCqOAoqm/Ev0FSXFaXHK2VxnnPWm7jH978KZ0yfSo5nOMe3ekC3GuyhyXQsMHAzjnHBqu9nM0e+MHbjjPatlNPWbSZ7iWcLMCvlxuGzKOdxB6fLgdfUYpbPxDc22i3ekRbPs90VaUFASSv3cHGR36etRLyN4LuVPDrSSXq263a2TXA8iWR5DHGFOBliO3rx0qrrV201wciFFAEY8obQdq4BwB1OM57kn1qnfQSWlzPDPG8U0bFHRhhlYZyDnvUCw8gf3hx2qDfTsbvgWyF7r1vbS3UNokjiHz5MeWoY4LHPGOa2NQkTwd4vMFrdwXcEEoXzITuSQA9R+VcXG7iJTBGVkU7jICckccY/A02+d5ZQ0siuT6Hp/WqsZ3Wx9ZQfGrw7NErzi4SQj5gqgjPqMmivksE453H0wKK2WLqoj6tS7n1Nr3wmmjjZoYww9q8q8ReE7jTpGDRsMe1fSlj4rlV1WYFgRyCM596taxo+neKtNd4UVZ9ucYxmvicFnPNK0j2sRgZU1eSPjOaJomIYVERXf+PfDUml3cgKEAH0rgnXaxBr6elUVSN0ebKLi7MjNNIp5qzpaWkl9GupSNFakNvdRkjg44+uK1M2UTTDXVf2f4bZ0Capc8tg/uWOFxnP3fXt+venC08KjIbUJ8LIPmEbneu3ntxz9enfrWiIZyJptWr5YFvJltGZ7cORGzdSueM8Dn8KrGrRLGGkpxpKokSiiigBwqeA81BUsR5px3BrQ04TxUy1XhPFWY/vCuxbHG1qacdrceTHKIZDG+drBTg44NWktLgKSYJQB1JQ4HX/A/lT9N1y/sbb7PBKPJG7CsoOCffr7+lXrrxFqV/aG2uJlMTffCoF38gjOPoOnoK56lzsoPUh/s+7TrbyHBIOBnGCRzjpyCPwNWE0+9Jx9kuP8Av03+FPtdd1C3jdIpwvmSGUnYudxzk9O+f0FSrrmomQObltwzg7V4yMelcUlqe1ByaJ5jNpM8sEaPDcqCju4G7DDsOQAQeoyfesM/fxWhLNJcyNLMxeQgAk98DFUJeJK8rEfEehBe4VNaGbB/pXmdtIIdQDmCO5wxAikzg/kQa9Q1UZsX+hry/wC0TWl801tK8MqkgNGxUjseavLtYyR5WP0nFi+ej8C2h6erf/FVrRuo2kQRevVv8azYprnIP2ib1++a147qfy1Jml6f3zXo+SOOLRYllj3Ltgj6DOS3+NWkkUH/AFEfT1b/ABqo1xNwRNL0H8Rq5DcTYAMsn/fRqknY1VizlTH8saL7gn/GpoG5GKhZ5HjIaRyuehbNJCSBzTWiKZoXBBdTVeb5ic0sfmTShI1Z25+VRk8DNP8AJkbYqxuzS/cAUkvzjj15GK1Ww0xlufkNNI+apbeJ9pAVi2SCuORikZGG0spAblcjqOnH5GsZ7lrYjbhhWvYnKgDH51kTHDir1o3y0ktDOZfuJABgHJ71SZstTpWyKqs3FUmZcpv6bq9jbw2ay2au0LMZVMaP5+ehLHlcdMDjj3NW7XU/Dwki83S7jywys+2Y5YBkJX73cCQbuPvjgYrj9/zGpbc5rRMylE6nULywm0m3hs7PyZlYNJIeSx2KDznpuDN2A3Y96zVcAcfjUeS0eAcLUcjADap6VVzCcdRWfuDVZTufNOZscDNClQvHFUiYx6lu0wx56jmr2AB06c/Ws6yb5tverVw3TkVp0LaI7icbdvHWqMj/ALwKPWldsy/jUchAlBpJkkU3HfvUQfapPv2qScgnPYVTlk+TjikyGilM2ZyRUW3c5+tSAliSaWNCwJFZN21LSb0RWmJ6DpVSQgDn17VenBTkVRWJpnwozUqVy3T5NGK17MYFjWV9iggLu4GeuB/npVWPd1Ucn0q0bdgQOn14ApLLTbvUrxYNPtpLmdhlY4ULscDJ4HsMmobuaxVlcquEWdsAlT/EwxWpqz6VClg2lvOJBGGmDDAEncg+nTtWXPA6R5dgQCVI3c547fj/AJxULFZNw289iO3NLY1T6nS2PiIWFlr1k2l6dO1+qq0slv8ANbYbkxkHCZJwaw4dOnvFZraHei5Ysq9B0yfbNUIyQMcYAIYHPI967fwd48ufC2lalZ2iQOuoReU5lXJHBGQcjnk9aqV90YqzfvHENCsbFZg5cdcMBiipb0rczmRWYZ6/5+mKKCT63tPDms28DSXLPOq/PjoyjGOPbOeefrWn4d1WezvYk/1hY4GXGMf41r6J4ouVsjZyqvkrEV3k5JyOOfTnvXOQ2zQaky7sR79w+brnJr8olUV1JPX0t+R9ylOalCqvQvfGHRIrnTkvVQASJu49a+W9Ti8q6dfevr/xowm8CRK/LRjbk/SvlHxDbN580ytEFWQIVMihjnceBnJHynJ7ZHqK+5yqrzwufK4iPK7MwTTDXoX/AArp/wDhWsXik3yFptzLAoBCqrFeTnrwa5zS9ItZtDu9Qu5Zi0b+VHHBtO04zucn+HOBxXsUpKo7Q16HNNcquzAR2jkV0O11III7GrV5bhY/ORVEcyCVMMDt+Ygr7YIPXnAB71NpWlnUJp0+0QxLDGZCzHOeQMDH1FUFX5HBI9BhhjOcVcZK/KRKLspHZ/D/AOGmseMoJLyALbaZG2w3EnR29FHf61r+I/hRJpcbCO4LSL6nOf0r3Lw3p9vZaDpelxSzC3ht1QJv2qWxlm+Udzk/jXHeMNJtoXkkaTevUKkpK/rnP514bzWU6nu6L+vI9JZe4wvLf+vM+br62lsrtre4XDr0PY1EEZiAoJJOABzmvXZta8NmN7bWNNs45pCRHcNErKhx2Hpz0/DNb3wq0Lw3/wAJKuozrH+5U+UyOHjEhPysB7DPbrjFe0sQvZOpa55jpWnys8nn8C+I7ewF5caXNDCw3DfgMR/u9a5tlKMVYEMDgg9q+w/GpV9Pl8to5VA52tgj6ivlLxRDjXLgoFAPJGQOc1yYHMJYiTjNWOvFYONGKlB3uZNSR9a9B+GHgGDxTpuqahfXJSK0KxpHGwBZiCck+g/z0rE0nwx9t8YTaR5wWKIsxfIJKgdPryBXswpyk0l1PKdeF5R7GVb9KtxfeFaOvaMmmXix27AoTj5nFVvsskN00RKMyNtJVwQTXZOm6MnCW6OdSU/eRIlWoaIbRtw8wbRk5+YZ49Oa0IrSFseXKpHTOcc56/TFcs2jrovUgWpkrRSyQ27Kstv5i8Ehgc/5xUMlr5ZZckMGx83HFcMmrnt0X7oRqdvIPTNU5v8AW1qmB0jUyGPLDgBhkDtmsycHzD0x16ivLxHxHpQd4EOoRt/ZzvtOz7uccZrye6H+lSZ/vdK9Z1BT9jYZHT+8K8ou0JupPuj5ifvCqy1/EeTmO6C1kZCSAD6A9614zvRT071jojqwPAz33Dnmtq1iYxpyuCPUV6Ttc4IllRlOfSrcByFxxUEcR5G5eOOtWoUKnb8p75yKu+htEssNqV2ng/8AsCTSdSXWXZLrBMByAN3YEnnH+7z19qg0jwpHd6ZbahJeLhjuaBosggN0LBwcHHbBrE1S2lhldWmDhB8oX5Qoz0AzSlZq1yotPRDtJSe41i3SxAeZiwQPnBHPXHXjt3rqXl8R3dnGQlsyGTJCkAkj5tpOeex4PQg/Th08xQHViGHQhuanM9wPuzyc9T5nX9fb+VaR2Cx3Cv4n+WORLW2DEKMsoLfw44JOBjH4D2qvI/iKJ5LpYYIhI2d/mocKS2Bw33RuYdP5VyJuLnYB58mOuPM/+v7n8zT1mnK8zvxgD950x071lIpI1dW0PVrm+maeOATsxcBXUebljkr69CeewpLfQb+GOPz4lRpCQiluTh1Ttx95h+R/HHlluMq5mfjofM6fTmrVvc3RYZuJCQNoJl7Z6daV1YqSZa1XTrvTNqXsXls4LKN4bIzjPBNY7HitK6aSRcySFsDA3PnFZzDgrhc567qSkRYhPWpoD8wqAg/7P5ip4AQ4wRn6irUjKS1NR32W6juTk1Wz8xz1NTTJ+7TkHIB6iqvOWPHPA5FWmmYyjqOZwMUrMCqjHfJqAA+q9f7wqRcnqRx7itE0TaxatWw+fenXEpLcVHbqdw5H5imyqfb8xVc2graETHLjFJKcyZHTHFSxx5Y5K/XIqCYlWOCMY55pJisbmjXF4mkTCPTYr20E4LhwGO8gKAF6nr29e3WqPiZp7m2mePQGsYI5dzSi32HBzgH5RjjHTjP4YzYb69smRrOcxkEkFWHfGf5D8qr3msajNG6S3TOrAg7iDxgjH5E/mfWk2IoKcL+taVtBsst5H3uv41nRIxWTkDCg43DnkD+tdCyf6PGAR0HcVxYqpayR6OW0VOUpPojntUTY4A7V1nwz8OW+v6qlrdyGOPa0mUA3MRjgE/561zerJmTGV9OWA/z1rd8EBzqVrEs3lM8iqHDYK5OM05puk+V2OepJKvqr67Gl8TfCMGhagYLCSRoXhEmJCNy84wa4DSdZvvD2ox3ekXNxbXceQs0L4ZAQQwH1zX1d4i8DaVeaRcL+8+1iIn7TJIWJIHVs9uK+V/EWneRJujZWDH+E4Gc9DmscHWVSNm7tFV48srpWTIPDegX/AIs1ZbTToTNdSEkLuCggDJ5J4qDU9FutMmvrS4CRy2zbZUdgrAg4wBnnB9KND1q80W7FzYTvb3KfckikwwOMevoabqtzc6i32qZ97NKcu8gJZjkknnk9Oa6nuTTtbzM141dV27F5Gcg7hx+o60zdsnZyI5GO4MpJ64IyDn3z9RT8sGjZNvXGNy8jrj0FMRCAzFdwzgsTkZORnr161d0ZjZIkG3Lj7oPBoqwkictcwrNKx3Fnl2milcD7luPCj2t+Y1kZg5LIWH3iB7+lVFsFudSSBVjRFJBO7cSOn06/1pbvXb/VZEUCaRsfKVGFH4mtXSrYaFave6i2ABlVYjJ/KvyeNFV6tqSdr9e39eZ9bKrVo071pLmMX4tXMOleH47KN8nBY54NfKOtS+beOfevUfit4rOp3suHyCeOa8hmfe5NfoWX0PZw2sfO1ZXepbh1DU3sDpkFzdNZsTJ9mViVzjJO38OfpVWKS5hjdYjKiSfKwGQGpILiW2nWW3kaOVejKcEZGDVt9e1RnDNfTlgMA7u3TH616SSWxg2UFSaNjsWRWxzgEHFNXAt5OnUCry65qaMrJeyqyjAIPIHP+J/OssmrRDPp7wD46s9f8G2dvPcGG/tI1hnUEsSQMBsdMHA/yK5/xdqsH2eVW8hpG5L7SD+deCW9xNbSiS3keNxxuU4NSXWpXdz/AK6dm/HGa815XH2nPFnasfJU/Zsn8QTLcSrtIIV2PBPtWn8PPEsfhnXhPeW4ubCZTFPEeoHZh7jH5ZFc23/Hun++38hUVelCklDkOGVRuXMe46/480YwZsXeaAjiMtux+fIrzvVNY0a7uo5be0eFz/rHfJz7AA4rkqWpp4dU+tx1Kzn0sd9p2sW+mW9ydG1P7LNOMOqqFRx2ypOMjJ561ylvf3VpqzXcNxm5DkmVTndng/gazRU0I5rpg5RaszBxjq7G3d6hcajKJLp9zUsH3qvaEdG/s8rqcdx56y7t8XQrgYU/jmtWM+GoL9fLS7nhUsGLtww2uOAAD12Ec+vSuxzctZas5uVJ2RV02GJikuoPJHZ5IJjALufRc9fcngfXAJFIxQKTkZzU2qPprx266YkylC4cytklc5X27noPz61XhFYTOqitS0g+XtnNWZCTM+T3IqstX7e2ku77yIADI7EKCep9K4ZfEe5S0iKrblHAyBjPrWfN/rq6KLRNSDFVtSSCO4/Csm/064tHm+0qqPGyhkLZPzZx047GvNrp3O6ElyWTLt9b6EdNQPeTrJ5WHYIcbsKc4we7EcdoyeSQK821e08IrcTSwahftkyssO3kAMyom7b1PyMWxjBYYyBn0q5161ttLSE6aJreIBhFNLvVnBySfl6HkYGMAnGCST5i3iXTI5GH/CN2MjoGWNnbOOIgC3Hz/wCrfOeplYjGBi8vt71jyMfe6uPm07wvFhbbWJ7hg6oC0bKrKXcb/uZGFVGK9/MwGypzs+R4XfeLa+uY13OYkZCzY/ebQTtwcBYyeF/1h5+Xnz2MAtnGO/0rYhAUKeDxxXodTkSN7WI9MhuEXSLie4T59zSrggB2C8YHVQGxzjdjPBqvAf3hqih/efhV635Ofar6GkS6ZHAwHYDtg0+AlllBJb5e59xUDds1bsFyJM/3cfqKmWxpEesfAqFzgcdqvSLsA9azmOVPFax2GSA5ApVbDUif6ukIwxFYyepdiSaTc2Mg/QYqxZoCQScLnmqsYiK5cvuwcYHGe1XrWMhYzuX5unOcVIN6DrgEblPBB71QWJpp1iiG92baoHc1dm4yPyrPfhsD1pIh7Eb5BIxgg4NS2gy1RMOtTWYw1WjNo0Lg4j+iiqsmQOfpUt2f3Y/3RVWR/l/CrhsRJajQ2GqdDgMRj0qpuywFWui471ZlInhbAzSsRtJqGNvlpZW2rx3p3EELZVs+lVp32yMGPUUbwvHtzVGSQDkntRcJIbJJ8wx24qGQbm3Doe1Afd+FNyehpXM5EsXCTH/Y/wDZhW9C/macjDqBisGLlZRj+Ef+hCrtlc7UaEdOorlxMHKN10Z25fXVKraWzRe1nQdVWNpfsUxRY/MZlXcAPw7+3XHNVdJsdVhZJYLK5Yr1KoSUIZhz/d5UjnHSr154i1QjyjfS9dwbOT9CfTisN9Y1VMqt3KAzFjjGcklj+pJrWGsbGWJXv8x6RdePPEk2mJa36Xa2cagTusG0mMDP38egP/168z8R3VjdaxItg8sVgx3IZvmIz3IHf/Pakutf1W7jEMt5K8QyTHwBjbt9OmM/n71RkSAWnmjf9oV+ckFduOnuevPTpRCjGDvEz9rKSszPXmKXKsT0yOg+pqFCe/c9cV0GgaFc67fR2elLNLeOeUTgngn17AHmsfULO4sbyW0nyjoxVw4xtI65HqKbtsVFtasfplstzIE27d3O72Fb40lXtp5ba1lkitk3ysiFtq5A3MR0GSozWLpNwkUUgLEEgAA5OOp4r0j4V6Na+KLm9gv9UNlCIyAXb5XUMCF6jIzzj2rLklUqW6HTGcKVK/U4a0utNtkaO8tbln3ZBS5MYKkDHGD+dFR+JbCGz1m4gilV0jbaHVuGx35oqrGfMz7EvfGmiaXGxtQJH65Y5rzbxT8RrXUYJlvXm3jd5ax9Dxxn8f6+2fHLjWbmbO52/Os+Sd5PvHNeVhstp0NUjapXcyzqF69zIWYk5qhRmkNemlbY52wJpppTTTVJEsQ0w0pNNNaJEsQ02lNNq0Qx7f8AHun++38hUVSMf3Cf7zfyFR0ITCiiimIcKsQDmoFq3brVQV2Kb0Oq8OeIX0q1Nq1tFPA8nmOH6np+H8IwfrUra39otriH7HbRiVVHyIFClScEADrzj6AZzznn0FWbYcV1WRzJu5bjFXYhVSIVcj4Fc9Rndh46k61o2Lxx6pG8xIjWTJIJBHPUEc5rNSrTfNM2OcscVxdT24LSx1hvtOt2JTUtSfbkcMORjAPTk+me3HbNYt9dad9iuoQbyS9dlJMzEhWXr6Z/i6j096jLRWlkJNx+1liANvEa8fMD3Ocj2x69MOPlq4K7abOiEU4ppjNXONPf/drymTLzMMjqetes6nJbx2cv2uNniaNlyrYKEjhh646479MjrXlN7A9tdNG53D7yOOjKehHtRlq92TPMzF++kSQpkjd1xWpHlfLyeMAVlQ8KDnOa0o/mt0LfWvRjucZeX/WdB0q7a4qgh6/nV+0OcVbNIlhx69KvWIDLJ/u/1FVZFxVjTTxKDwcf1FRI1jsWrtsBazUGVrRvP9T9KpJwv4VtHYY9B8opjffqzCMrUUi/NWL3LWxDnFXLU5XnrVJxirNu/wAn41InsTyd6qzRlHXdjkZGDnirbDPOO2apy9cj1qUSRH7tS2o47VERxUsPsKtEdSxeH5B/uj+VUmOUFWrojav+6KpKfk5q4bCaGpzIvoOauId2MHINU0y2do4xyantSeMdc8VZzz3LUa9j2qGZsMT+Aq867VBA+tUpxlx6UMzTuyoT85PtVGfLbs+mKvSKVY5qnNxnnqaXQuTIU+4M9adjNQ7juGKsLg5OaEYyHIcLNj+7/wCzCmRn94CM/LyacvCS+pX+opY02wHPBPP4ULW5PW5HcTbpMdSOtVXbc2RknH502U5fg8/WlZ1ZR8uCM8g07I0cm9yJ124PBBGeKDkxeWCoXnp1PFPGXwF3d/ujpVjThBO+ycHdwMg/5/yaLEXIdN1a70i6S8sJZLadRhXibYwOMZBzn607TNQifW0u9WiN5b+YJJ4jJsMyhgWXd1BPryRXUfEDQdD0+HTT4c1GS+eaBXm3Rldj45Qdj/nmuEKAgeUXYomWDL905+vTGPzqbX1NU+hYnNtc6pNJbI9rZvMxijyW8sZO1c457c8V1V5daFb+E7CTS7y7GuMz/bFkA8vGfl2HGc4xXEph5EA+Yg9D6VbuLC7jZI2UtuOVCrycgYx3pJmnLctx6XqF+guPsF1c7uPMjRmU447DFFXbK/1GxgFst5eWwjODEszJtPfjtzRS0Ls+xXzRmkpM1Fibi0hNJmkzTsK4E00mjNNNWkS2BNNNBNJmrSJENNNKaSmSy9C1mtvHvL73YCUf3VyCSOOvH61XvFgWRRauXXaMkjHNQUUlCzvcpzurWCikpRVEF7R7I399HbhthcMQcA9FJ7kenrXUW/g/UPMZPMttyZLYkzgAZz06fTn2rkoFya0IhgVvSi9zKpI6k+DdTRTv8lWVQzAsfkBGeeP8/UgGa18KX0lpFLCY2L5ypO3GPT15yPw9ME8sK1Wt1EKzW5LQngg9Ub0P9D3/ADA1ldIyhZsuXtjJp92YJiCwVXyOhDKGH86RaghHFTDrXDWkethYFm2CGQeYSFxzir6eQ2QxYbeF75GTWfHViOuVxvrc9eEraWEv5WZPnYsx7k5NaFppNjNDbsNVghd0UushztbnPToP8PcZxr58yBfSmW/3q4qr0bZu1oktC/r2lWFxoyk6rDbOyjcspHGQPcY53fhjOOccPHoGizNNbSeIYkEUg8l2ZSpVycf98kEtz/EOnNaXjKbyrHOAfY1wTWF35Ucv2WcRSAsjeWcOM9R6itcBZU7njY5N1Lbl3V9PttOaAW2pwXwlUsxiH3PQH3NLaSGSBQOxNZ62dxnm3m+nlmtGxt7gRHEE2c/3DXbdXucsU9i8v3Qfbmr9h94c1Sjt5/L/ANTL6fdNX7K3mBX91IP+Amm5q25rFMvyjK/hV7Sfs6RqXLGQ8MPY55/KqboyKA6svHcYqWxHODUyXMjeD5WXNUWIJiFiy45z61QAxGn0q3c/dwarMP3a/StIaKwN3dyaH7hIqN/9ZUlvyDQy/Nk1D3GirLGz7tilsDJwM4FKVMEzRbXV1OCrjBDdxj60+dOvzBeD17+1R+ejRquwmTGGdjnPOePT9albDdy827GH4I4x6VTlHFW02C3VvMBbOGQj9aqXB+U1PUghJPTtUsPBqDPIq3ZQTXEuy3iklfGdqKWP5CqIbLcjWZzHlhF97fj5s+n0rKJRWkKcx7iFz6VYnR1Z0dSrKSCpGCD6VRaN1YhlKlhkZ4p048vUJ1ebSxaQYhAUjBp1kozk846CooI9q4B+tTQHEmOPl5rdLQ4pu7ZeLbY/nPzE5+lRTR/KCvORn6VTmlLSDJ+tWInzFknGKZm3yshZSysM/Wsq8+Ukd61pJByR168Vj3ByzZ70mhqVyrnBzViJvX04quxpwyelQg3L9mIJZG87croAV29DjPXj6VJqjWzReZAzeax+ZTnCjHP15qtbjsnXqx9ahvGIU4/Sjk15rmil7vLYoOec1IDxg8YH51GfenKAR1qjMVAOSwyMZHbJ+tNjyjBgSrg/KRwcipgfL+ZGII5HqDmmsNzfeIP+eKGAyeYvEvUEHDDPOabCPtFwEd5GaTAeRjuI9sZ5HSnTIASqEHHIz3qMZjcSMU+Zs8cA9R26dD6VL3KTLmtWcGk3ESxTGSVUBmQxlDFJ/EhB7gjrVzUvEGra/HbTNIzvp9ukcbKFBijQ4Xp6E9etc3dTmeQlizHqxZsknvXWfDm68P2+pIfE0c8tjtYSLAQHJwcYz7471DXU3jLpcw2NzNI8s7yGSQ72beSTnucZ5op+qXNt9ulNpgQFsoDgnHv70UalqQ/NGabmkqrGNxc0maTNJmmkK4pNITSE0maqwgptFJTJCkoopiEooopgFPQZNNFWIU5pxV2TJ2RYt0q2tRxrgVKK7IqyOSUrsmhXcwrU025NpdJJ5aTID88Umdki55VsEHH0IPcYNZ8C4XPrVuIVlVlZG9GF2WuMkqNoJ4Gc4pyUwdKkWvMnLmZ71CHLEnjqwhwM1WSlmk2RH1pPRHVDcrTPulY1JbnJqsTgVYt64K3wNnRfU5vx5LiFEB71ybW4FvAzXsB3gkRgsTHz0I28V0fjRTJcIHdI07Fu/wBAOa5fFsvIkmf22Bf1ya6cGrUkeHineq7i+Qh63MOfo/8A8TV3To1BdPtMR49G/wAKqRLDJKixpMWZgFAYZJP4VesbNkuEDWl6NwOAU6849PXiupmEbXNG3hRVYefF+Tf4Vds40BX9/F+Tf4VElk6DLW1yFPHI/wDrVcXTriN40FpcrIzbVBHU5Ht7ilFt6GysW2AXADq3HbP9aWByHGKr7/u1LGcSA+tOxSZfl+ZeaZKMItOY9qWYZjHfjNVF6miI7Vv3mKkm+XNVYGxMtXZhlTSluHUqT/Mn0qjuxJV1/uGqbO5CoTlVJIHuev8AKoRVzUHlyCNIQfMxtPfcfX+n4VTmOAQetPT5mLBQoPOB2pJQDmlbUwlOxXjGWrovDaXIGpeT5Btvs3+lednb5Xmx4+7833/L6fjxmuej681etLiW3k3W8skTjgsjEHH1qkYuR3l1c+JXZXit7aeS4UyrIigFjIpckAkfMBPkkDIG3JwK5ubStc1uaCS9hVI7a0bbJJJjckSyNjqctiJxwO3PrVCS/u/IK/aZ8HG4eYcHHTv2wKS11C+Ikklvbk+aCjZlY7l54PPP3m/M+tXEiLuyixVVIQfUmq7SEcLzRMwWRgDkHv6VXUtv9q0voKorMmbJbPc1Z/hCr2qHowz1qVZDg7aDkk2IE+Qse1Z97Dt+bPU81qx/dLdqoXmWzuPtSYot3M4R5bAFWYYVYZODio0GMZ9anK7EbHfihG6IxxnFRXn3QPT9anj5wAM49qrXPOcVXQoofx4PFSRjPTjFNYYanxjrngVJJJxjue+R2qWCKSW4WNeSQVA+vH9aIwcgA/Nj8qkjZo3V0xlff/PtQxdbI7HxL8NNV8N+HbTVL1YDb3irsJk5jJGQfqRn2555rg5rYrHISQSR8xx07/hXX3viLV9Z061sNRvJJrS2H7qNmJ2j0ANY+rGOK38ksI5ZSCSR90evFckqr5lFbnoU6C5HN6HJZ8wjIX5R9MgV0UPhe6m8LyaxbpI8SziI/uXxvKsSAwG3oAcE55GB1rnsE8DHXt/hWzpWva2LdNLsLy6jt5ZN4gjcqhcrt3bRxkg4zXQzliYSrI4+VN2OCdoP9KK938MeCdM8QaHa3Fl4ZlneFfIuZPtIXdKOScEjsy9qKxdaKdmdKw8mro8fzSZpM0ma6TluLmkJpM0lMVxc0lFJQK4tJRSUxAaSiimAUUAE9BmpFjPGQRnpmmlcTdhYlyavQpimQQt/dP5VaRT6GumnC2pzVJ30FAxUsK7m9qYAS2KtINq1cpWRMI8zJFqxDVQNzVy3FebXq9EevhaPVlhakWmCpFrlR6aHiq9w+5sDtUzttWqihic4PPtRUdomsNxGq5ZGNVkaRsFVyi4zuP8Ann8KpN97BHNS5KwscHpXNiI/u0jVPW5wfiy4M+qOSScViexq5qjNLfyMATknHvVRTg+td1KPLBI+dqy5ptj4ZHhmjljO10YMp64I5rXHiXVSybrs4XjGxcHJGcjHPSsY8Dil69a0IO0Ov6jIDE9z+6kTyyPLX7uBwDjgcVdi1/UxsH2rIThcop4zn09c1zNu2+FH6lRWgpySfUZpR3OhI0P+WQNTwHcFPvVRW/dn6VasjuXAHNU0Vc0Djg+1PY/ul+lMUHYeD09KEyV2gZOcYqEap6Fbo4b0NaKncgI71nSA78AH8qu2YLwjGc9qct7gysw+ZlqlICH6CtGdQJOO/JqlMPnpdSbk0IPlg1KygLTrNdy9OB1p9x8o4pHNJ6mZN8pyPWrUGGj3d+9RXCZTOMU6zfHB70IErk7tuQhaJhshAzjA4pqoWHAPp9aS9Dt2OMelNMuELGf95icjGaRRh6dECc4GDimqHEnzAiqUhVIk7dM96kh5I7k1GfpgEU6I7WFCZzOBYJwcHtVC7B5q6zDcahkwykY6UyFGxVVNy5xTpgTgCnRkYI70VojRIYMRjjrVeU5/h4p7lsk/rTG4U7wc+mKbGylIvXPrS4A+lOlc5PyEDOOlMXnoDU3IuPLbWGanJzh12kg8ZPSqrKQeQfy61NCAVIPGRx71LBaagtzLGg2ljzyQMY/nVZJnMrvMRJu4PmZPXjt3qV+FZSAST1zUjXcTWCWpt4lcSFjMQdxBHT6D+tZpJO6RspNq1yto13BpmqQXN5Zx38UbZa3ckLIPcjmtqNNKuPCWpXV1cCzvTMJLW3EOTICTnD9QB6Z5rk5QxxjkVpXMmpBNKttYMxs41DW0VwWCBGbJx32k56VVlfUSk7WRNZ+L9VsoBFaXDxR8EiJyoJwBnAxzgCisW6tgLh1VwVU4DIDhvcUVPKi+eS6m9/ZV1/0w/wDAiP8A+Ko/sq6/6Yf+BEf/AMVTf7Uvf+e5/wC+R/hR/at5/wA9z/3yP8K2szG4v9lXX/TD/wACI/8A4qj+yrr/AKYf+BEf/wAVSf2re/8APc/kP8KT+1b3/nuf++R/hTAX+yrr/ph/4ER//FUf2Vdf9MP/AAIj/wDiqT+1b3/nufyH+FH9q3v/AD3P5D/CgQv9lXX/AEw/8CI//iqT+yrr/ph/4ER//FUn9q3v/Pc/kP8ACk/tW9/57n8h/hRqAv8AZV1/0w/8CI//AIqj+yrr/ph/4ER//FUn9q3v/Pc/98j/AAqRNSvT/wAtz/3yP8KaTYm0jW0PRddMMzadZrcRMdrlJFYA7SOzejH/APVmtifQvE10UM+jodisoG1cc49T14rBs9c1a3Qrb388Sk5IRtoJ/Crq+Jdb/wCgpd/9/DW8Kb3MJ1FsbVpo3ie2B8vSzkhQxJBJ2gAfxegqzHpniVLaOCLRlQKBk5HOOn8X+efWsJPEWtnrql3/AN/DUw8SayB/yE7r/v4attomMeY3P7K8RtFtbRoc4C7gqg4/76/lWU/hPXe2nS/99L/jVWTxTrI6andf9/DUS+JtbZv+Qpd/9/DXFVrW0O+jQvqaEPhHXi3OnS/99L/jWjD4T1tV50+T/vpf8azrXxDrJ66ndf8Afw1eXxDq+P8AkI3X/fw1xtp6npwjKK0LA8K61/0D5P8Avpf8akXwtrX/AD4Sf99L/jVVfEOr/wDQRuv+/hol8Sauif8AIRuc/wC+aFY094dceF9bZsDT5Mf7y/40v2vUrZVt3+xpJAwHzTJuVkPGct1BFUh4j1g/8xK6/wC/hqvLqN07M7ylnYkklQST61MmnJRNIKVr6FqSa6e684CxVw4cFZk4IOeDuz1pt1eXkFpmMWTbQCFM6YJCbBn5vSqP264/56D/AL5H+FZPiTV7mGzwku0n/ZH+FOqk5KJE3KNNt2KNxfau08bQ21hGsbblXzoz/Cy8/N/tMfbNVL46neWrQNZ6bGrdWiljDHkH+/7fqfrWP/bOof8APy35D/CnDWL85/0p8+m0V1Hijjot6V+7D/4Ex/8AxVJ/Yt7/AHYP/AiP/wCKpF1nUAc/aWOOeg/woGs3+3/j5br/AHRQBrWOl3giIYQf+BEf/wAVWjaabcmLDG3BHH/HxH/8VWLZa3fCTDzkg8HgVr2Oq3ZkIMx59VH+FKJur2LsOnz9zb/+BEf/AMVWx4d07VluZG023SchQHCSq2BkEdGz1FYq6ldiQ/vv/HR/hVi313UrVj9mvJYdx+byztz+VWx6ncfYvE0jFn0tTlCjA4wQSCf4vUDpVaLRfESXAlGmYbJJwFG75g3ODzyKyIfEusE/8hK6P/bQ0+fxHrCgY1K66/8APQ1mjSKZrTaX4jaZZDpCEht3Qc/Lt/vegH5Vcs7HxF5wC6SsaIcqOD2I9f8AaJrnX8RaxsVhqV1/38NOtvEesCcZ1G65/wCmhpvYbTNzU9H165i8r+yY0B6mMAE8j/a9v51jSeENbL8afJ/30v8AjU1x4g1cPkajc/8Afw1C3iLWCvGo3Q/7aGpuFnYsQ+FtbC7Rp8mP95ef1ol8Ka23TT5f++l/xqmviPWB/wAxK6/7+GpU8Rax31K6/wC/hobM3B3GTeEtcK4Gnyfmv+NQxeE9dVgf7Ol/76X/ABqWbX9Zwcaldf8Afw1VHiLWt3/ISuv+/hpXKjFmlb/2jpJNrKlsjpglJZlDL3/ve9Nm1C/kZiwsGBUoR5yYZTgkfe9QDxjpWbJq15NN5k87SOerMASfxqOS+uQ+PM4P+yP8KZXKw/0yK485VsfMG7nzoxnd1z83PXv61NBf30XnDyNPLPkhvOT5csWP8XTkjH0qhNf3R/5aYPT7o/wqo+oXeR++/wDHR/hQhSi2b63t/tGVsH+ZnG6ZDgkkn+L3qg9rPLM8rm2UuxYhbiMAZ9PmqGPUbnaMy/8Ajo/woXUbn/np/wCOj/CmjmkiX7DMWPzW/wD4ER//ABVI1hMc/Nb/APgRH/8AFVHHqN0ZMeaP++R/hU/2+5Zc+Z/46P8ACqRm0Vl0+cZ+a3/8CI//AIqmSWNxt4Nv/wCBEf8A8VUpv7n/AJ6/X5R/hVabULvnEp/75FWtBom03S9Unu1FhDFNKgL7UmRjjp0DdOa6GWx8Vsxk/sld5UKTkdB0/i/z9a5a01jUbaUvBdyRuRjKYU49OKnk8T62Bj+1Lv8A7+GgTNi40nxPcQvFLpAKs4fgL14/2ueABzVWHQfE9vIGTSB8rswXgKCQM8Bv9kfjWd/wkuu7M/2pd46E+aajk8Ta4F/5Ct3/AN/TSM+pvxaZ4nVJP+JIpkbJDEjjPX+L0OKkh0zxSYpA+jxE4YhnALDc2Tg7ux6VzK+KdbJ41W7/AO/hp6+K9aLNt1S+C/wjzTkUFXL0vg/xBNM7/wBnSqWJbhhxz25qnJ4L1/Jzpkx44wy/40DxLrzjC6peMfvHEh6CqsniXXtzbNVvdueCZSMilYSZYh8J69Da3Cf2PI8kg2qzFPlGcnv14H4Z9ansPAeuXei3NxeQlZrZl8u3eT5pFOQQuOOOvJFc7ceLPEEZwdVvRn/pqanPiTVpNPtfsuuanLqEjsskOcKq8bSrZySctkYGMDrnhMuB7ba/2auk6ZF/wjjxTQ2qRzAwxvlxnJznnNFeCzeKPEkMjRy6pfK6nBVpCCKK1VZi9mhcUmKKKYgxRiiigAxSEUUUAJijFFFAEkag1bhQUUVtTMahbjjWpkQCiit3sYx3H4qKUkdKKK5aux2UtyueTVi3UUUV5stz1aexq26gLVgCiipN0OUVVmJMnNFFUinsC0r0UVFP+KbfYI65nxYTlRniiitH/ERz4n+CzmQKAKKK6DxgIpccUUUASQj5h9a37c4dMUUUlubR2NAj5s04D5hRRWhZfs+9WpRnrRRWS3LiNTmE5p8fDIaKKGaFy6H7tD3xVV/urRRUrYRFip1HzLRRSYMfKBVFhiWiikgQ1uufepuvWiiqKK1yMMcVRkHzfjRRQhPYsbRtoPFFFUtzke4sY+Y1aHEYNFFMymQ45Iqqw4P0oorQlEajBqvdMUHFFFMbKwYkcmpGGUooqDGW5An3qkA+ZvaiimhvYWXP2eR8nKjI/MD+tO1wq1lZyJGsbiDllzlzk8nOee3HpRRSZcDn2YvbsHOdvIz9adpt3Pp1/Bd2chjuIXEkbjqrA5BoopFrQXVL641HUJ7y8kMtxM5kkcjlmJyTRRRQO5//2Q==" alt="" /></p> <p>Figure 1: The Interstellar Medium Science Targets</p> <p>We examine a solar thermal propulsion (STP) system to rapidly access the local interstellar medium via a solar perihelion burn. This approach uses several Venus and Earth gravity assists to fly out to Jupiter and then would dive towards the Sun. Approaching within 3 solar radii a perihelion burn would be performed, maximizing the spacecraft&#8217;s &#916;V to achieve high Solar System escape velocities. A unique aspect of the STP mission concept is that the Sun is not only used as a gravity well for an Oberth maneuver, but also to heat the fuel to ultra-high temperatures (>3000 K), enabling a monopropellant burn with high specific impulse (I<sub>sp</sub>). An in-depth modeling exercise found this approach to be preliminarily feasible, with escape velocities of around 9 AU/yr achievable with current technology, and up to 16 AU/yr with significant future technological advances.</p> <p>While the baseline STP design is capable of providing just under 9&#177;1 AU/yr, Figure 2 highlights areas of key technological improvements that could be explored. Ultimately, if all technological paths could be implemented, the overall performance as a best-case scenario could reach approximately 16 AU/yr.&#160; Figure 2 also qualitatively ranks these improvements from most likely to least likely when reading the graph bottom up. For example, implementing turbopumps in the system is likely more readily feasible than reducing the liner thickness in the near future. It is assumed that these upgrades can be implemented in the future without incurring any additional mass penalty over the baseline design. Thus, it predicts best case performance, and actual values would likely be lower. The improvements could be the result of a single point improvement, or a propagation of several developments.</p> <p><img src="data:image/png;base64, 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" alt="" /></p> <p>Figure 2: Overview of Solar Thermal Propulsion Performance</p> <p>After reviewing the STP approach, and comparing it to a solid rocket motor (SRM), it was found that with currently available technology, SRM outperforms STP with an escape velocity of approximately 12 Au/yr. However, future advances in heat exchanger lining materials, turbo pumps, and advanced heat exchanger geometries may enable solar thermal propulsion to provide higher escape velocities, which would provide one of the fastest ways to exit the solar system. Of particular importance is heating the hydrogen to 3,500K. Using a perihelion burn as a kick stage for a nuclear electric propulsion system was found to be particularly effective for achieving even higher escape velocities, up to 19.5 Au/yr.</p>
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