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trajectory in the Sun's sphere of influence is required to transfer from Earth's sphere of influence to that of Mars, etc. By patching these conic sections together—matching the position and velocity vectors between segments—the appropriate mission trajectory can be found.
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between the spacecraft and that smaller body is considered, otherwise the gravitational force between the spacecraft and the larger body is used. This reduces a complicated
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spacecraft missions, there are missions for which this approximation does not provide sufficiently accurate results. Notably, it does not model
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An
Analytical Solution to Patched-Conic Trajectories Satisfying Initial and Final Boundary Conditions
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The simplification is achieved by dividing space into various parts by assigning each of the
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198:. Dover Books on Astronomy and Astrophysics. New York: Dover Publications.
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169:, a popular spaceflight simulator based on the patched conic approximation
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Although this method gives a good approximation of trajectories for
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Dynamical
Systems, the Three-Body Problem and Space Mission Design
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Earth-to-moon trajectories in the restricted three-body problem
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Method to calculate trajectory calculations for spacecraft
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291:(Technical report). Bellcomm Inc. TM-70-2011-1.
190:; Mueller, Donald D.; White, Jerry E. (1971).
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226:Lagerstrom, P. A. and Kevorkian, J. ,
230:, Journal de mecanique, p. 189-218.
129:is required to escape from Earth's
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253:. v1.2. Marsden Books. p. 5.
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240:Koon, Wang Sang; Loo, Martin W.;
50:in a multiple-body environment.
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40:patched two-body approximation
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278:Carlson, K. M. (1970-11-30).
194:Fundamentals of Astrodynamics
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36:patched conic approximation
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244:; Ross, Shane D. (2011) .
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42:is a method to simplify
127:hyperbolic trajectory
289:Technical Memorandum
167:Kerbal Space Program
242:Marsden, Jerrold E.
162:Sphere of influence
80:gravitational force
76:sphere of influence
260:978-0-615-24095-4
107:Lagrangian points
88:two-body problems
62:bodies (e.g. the
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125:transfer, a
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174:References
139:hyperbolic
133:, then an
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146:See also
135:elliptic
113:Example
94:of the
68:planets
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117:On an
54:Method
34:, the
285:(pdf)
251:(PDF)
119:Earth
72:moons
255:ISBN
210:LCCN
200:ISBN
123:Mars
121:-to-
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64:Sun
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