Forbidden tangential orbit transfers between intersecting Keplerian orbits

Burns, R. E.

doi:10.1016/0094-5765(89)90133-1

Cited by 8 publications

(6 citation statements)

References 1 publication

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“…For a specified arrival flightdirection angle, the orbital parameters can also be obtained by Eqs. (6)(7)(8), even if the transfer orbit and the final orbit are noncoplanar.…”

Section: B Specified Arrival/departure Flight-direction-angle Problemmentioning

confidence: 95%

“…If a specific arrival angle is needed for atmospheric reentry, Eqs. (6)(7)(8) determine the parameters of the required transfer orbit. In addition, the proposed method can be extended to the noncoplanar case.…”

Section: B Specified Arrival/departure Flight-direction-angle Problemmentioning

confidence: 99%

“…The conditions of solution existence can be derived from the initial orbit parameters. Burns [7] pointed out that cotangent transfer orbits for nonintersecting elliptic orbits always exist, but this is not true for intersecting elliptic orbits. However, no explicit formulation for the solution existence (in terms of the true anomaly range) was provided.…”

Section: Introductionmentioning

confidence: 96%

See 2 more Smart Citations

Analytical Study of Tangent Orbit and Conditions for Its Solution Existence

Zhang

Zhou

Mortari

et al. 2012

Journal of Guidance, Control, and Dynamics

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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.

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“…For a specified arrival flightdirection angle, the orbital parameters can also be obtained by Eqs. (6)(7)(8), even if the transfer orbit and the final orbit are noncoplanar.…”

Section: B Specified Arrival/departure Flight-direction-angle Problemmentioning

confidence: 95%

Section: B Specified Arrival/departure Flight-direction-angle Problemmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 96%

See 1 more Smart Citation

Analytical Study of Tangent Orbit and Conditions for Its Solution Existence

Zhang

Zhou

Mortari

et al. 2012

Journal of Guidance, Control, and Dynamics

View full text Add to dashboard Cite

show abstract

“…The ΔV for the cotangential maneuver alone is given in brackets for these cases. The total ΔV required for M1, M2 and M4 can be compared to the ΔV lower bound [24] given by equation (19). The dominant change is the change in relative semi-major axis.…”

Section: Drift-based Rendezvous Strategy Ending In Safe Orbitmentioning

confidence: 99%

“…A more extensive comparison shows that the cotangential transfer performs well over a wide range of true anomalies, if the orbits do not intersect [18]. If the orbits do intersect, singularities appear in the algorithm [19]. An iterative algorithm for linear, cotangential transfers between J2 perturbed relative orbits is presented in [20].…”

mentioning

confidence: 99%