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Regularization and the computation of optimal trajectories (1970)

Tapley, Byron D.

Springer

Celestial mechanics and dynamical astronomy 2 (1970), S. 319-333

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ISSN: 1572-9478

Source: Springer Online Journal Archives 1860-2000

Topics: Physics

Notes: Abstract A completely regular form for the differential equations governing the three-dimensional motion of a continuously thrusting space vehicle is obtained by using the Kustaanheimo-Stiefel regularization. The differential equations for the thrusting rocket are transformed using the K-S transformation and an optimal trajectory problem is posed in the transformed space. The canonical equations for the optimal motion in the transformed space are regularized by a suitable change of the independent variable. The transformed equations are regular in the sense that the differential equations do not possess terms with zero divisors when the motion encounters a gravitational force center. The resulting equations possess symmetry in form and the coefficients of the dependent variables are slowly varying quantities for a low-thrust space vehicle.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/BF01235125

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