Analytical Study of Tangent Orbit and Conditions for Its Solution Existence
This paper presents an analytical study of the two-body tangent orbit technique by providing solution-existence conditions. The flight-direction angle is used to describe and solve this problem. Closed-form solutions are obtained for three classic problems: specified arrival flight-direction angle,...
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| Veröffentlicht in: | Journal of guidance, control, and dynamics control, and dynamics, 2012-01, Vol.35 (1), p.186-194 |
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| container_title | Journal of guidance, control, and dynamics |
| container_volume | 35 |
| creator | Zhang, Gang Zhou, Di Mortari, Daniele Henderson, Troy A |
| description | This paper presents an analytical study of the two-body tangent orbit technique by providing solution-existence conditions. The flight-direction angle is used to describe and solve this problem. Closed-form solutions are obtained for three classic problems: specified arrival flight-direction angle, specified departure flight-direction angle, and cotangent transfers. Not all of the problems admit solutions; thus, closed-form conditions for solution existence are provided by imposing a positive semilatus rectum constraint and a negative transfer-orbit energy (elliptic orbit transfer) constraint. The final solution-existence condition is then provided in terms of the true anomaly range for initial or final orbit. The singularity problem of 180 deg orbit transfer is also analyzed. Several examples are provided to verify the proposed analytical methods. [PUBLISHER ABSTRACT] |
| doi_str_mv | 10.2514/1.53396 |
| format | Article |
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The flight-direction angle is used to describe and solve this problem. Closed-form solutions are obtained for three classic problems: specified arrival flight-direction angle, specified departure flight-direction angle, and cotangent transfers. Not all of the problems admit solutions; thus, closed-form conditions for solution existence are provided by imposing a positive semilatus rectum constraint and a negative transfer-orbit energy (elliptic orbit transfer) constraint. The final solution-existence condition is then provided in terms of the true anomaly range for initial or final orbit. The singularity problem of 180 deg orbit transfer is also analyzed. Several examples are provided to verify the proposed analytical methods. 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The flight-direction angle is used to describe and solve this problem. Closed-form solutions are obtained for three classic problems: specified arrival flight-direction angle, specified departure flight-direction angle, and cotangent transfers. Not all of the problems admit solutions; thus, closed-form conditions for solution existence are provided by imposing a positive semilatus rectum constraint and a negative transfer-orbit energy (elliptic orbit transfer) constraint. The final solution-existence condition is then provided in terms of the true anomaly range for initial or final orbit. The singularity problem of 180 deg orbit transfer is also analyzed. Several examples are provided to verify the proposed analytical methods. 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| ispartof | Journal of guidance, control, and dynamics, 2012-01, Vol.35 (1), p.186-194 |
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| language | eng |
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| source | Alma/SFX Local Collection |
| subjects | Aerospace engineering Arrivals Dynamics Exact sciences and technology Exact solutions Fundamental areas of phenomenology (including applications) Mathematical analysis Orbits Physics Rectum Rocket launches Singularities Solid dynamics (ballistics, collision, multibody system, stabilization...) Solid mechanics Tangents Velocity |
| title | Analytical Study of Tangent Orbit and Conditions for Its Solution Existence |
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