Analysis of spacecraft motion under constant circumferential propulsive acceleration |
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| Institution: | 1. The Boeing Company, 535 Lipoa Parkway Suite 200, Kihei, HI 96753, USA;2. The Aerospace Corporation, El Segundo, CA, USA;3. The Boeing Company, Kihei, HI, USA;4. The Aerospace Corporation, El Segundo, CA, USA;1. Center for Research and Development in Space Science and Technology, Sharif University of Technology, Tehran 14588-89694, Iran;2. Center of Excellence for Aerospace Systems, Sharif University of Technology, Tehran 14588-89694, Iran;1. Physikalisches Institut, Universität Bern, Sidlerstrasse 5, 3012 Bern, Switzerland;2. Paul Scherrer Institute, 5232 Villigen, Switzerland;1. Research Center of Satellite Technology, Harbin Institute of Technology, Harbin 150080, China;2. School of Electrical and Electronics Engineering, Nanyang Technological University, Nanyang Avenue, Singapore 639798, Singapore;3. DSO National Laboratories, Singapore 118230, Singapore |
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| Abstract: | This paper reassesses the classical circumferential-thrust problem, in which a spacecraft orbiting around a primary body is subjected to a propulsive acceleration of constant modulus, whose direction is in the plane of the parking orbit and orthogonal to the spacecraft-primary line. In particular, a new formulation is proposed to obtain a reduction in the number of differential equations required for the study of the spacecraft propelled trajectory. The mathematical complexity of the problem may be further reduced assuming that both the propulsive acceleration modulus and the spacecraft distance from the primary body are sufficiently small. In that case, an approximate model is able to accurately describe the characteristics of the propelled trajectory when the parking orbit is circular. Finally, using the data obtained by numerical simulations, the approximate model is extended to generate a set of semi-analytical equations for the analysis of a classical escape mission scenario. |
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| Keywords: | Circumferential thrust Escape trajectories Low-thrust mission analysis |
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