Mathematics
Scientific paper
May 1981
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1981kosis..19..323i&link_type=abstract
Kosmicheskie Issledovaniia, vol. 19, May-June 1981, p. 323-335. In Russian.
Mathematics
Elliptical Orbits, Orbit Calculation, Trajectory Optimization, Transfer Orbits, Linear Equations, Mathematical Models, Orbital Mechanics, Thrust Programming, Time Dependence
Scientific paper
An examination is presented of a simplified model of fuel-optimal three-impulse transfer between elliptical orbits with a limit on the transfer time. The first and third impulses are apsidal in character, and the radial component of the velocity before the second impulse is equal to zero. A qualitative analysis of the optimal transfer characteristics is presented, and an algorithm for solving the optimal transfer problem is developed. A numerical-analytical method for the investigation of the simplified model is presented which gives an acceptable accuracy for long transfer time.
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