Influence of climber motion on the nonequatorial space elevator dynamics
Space technics and technology
Samara National Research University named after Academician S.P. Korolev, 34, Moskovskoye shosse, Samara, 443086, Russia
Within the framework of this work the effect of the climber motion on the nonequatorial space elevator is studied. The dynamics of the payload after separation from the elevator is considered.
Space elevator is a system designed for delivery of a payload into Earth orbit. It consists of a tether, space stations — counterweight and a climber. The tether connects the counterweight located in the geostationary orbit with the Earth. The climber with a payload moves on the tether. A mathematical model describing the spatial motion of the space elevator was developed. A series of numerical simulations was performed to determine the effect of climber’s motion on the space elevator’s dynamics. The motion of the payload after separation of the elevator was studied.
The tether is simulated as a pair of inextensible inelastic bars of variable length and cross-sectional area. Counterweight and climber are considered as material points. The developed model takes into account the effect of the tether bending, but it does not require large computational cost.
Results show that a uniform climbing of payload leads to buildup oscillations of the space elevator. It is shown that the latitude of the point of the tether’s attachment to the Earth affects the oscillations in the elevator. The motion of the payload after its separation from the elevator is researched. The dependence of the apogee and perigee on the payload’s separation altitude is obtained.
Keywords:space elevator, climber, tether, nonequatorial, orbital motion, payload
- Aslanov V.S., Ledkov A.S. Dynamics of the tethered satellite system, Cambridge: Woodhead Publishing Limited, 2012, 331 p.
- Pelt M. Space tether and space elevator, Springer, 2009, 225 p.
- Edwards B.C. The space elevator, NIAC Phase Final Report, 2003, 43 p.
- Pugno N.M. Towards the Artsutanov’s dream of the space elevator: the ultimate design of a 35 GPa strong tether to graphene, Acta Astronautica, Vol. 82, no. 2, pp.221-224.
- Poljakov G.G. Privyaznye sputniki, kosmicheskie lifty i kol’tsa. Privyaznye sputniki, kosmicheskie lifty i kol’tsa (Tethered satellites, space elevators and rings), Izd-vo Astrakhanskogo pedagogicheskogo universiteta, Astrakhan’, 1999, 579 p.
- Pearson J. The orbital tower: a spacecraft launcher using the Earth’s potential energy, Acta Astronautica, 2010, Vol. 2, no. 9-10, pp.785-799.
- Williams P., Ockels W. Climber motion optimization for the tethered space elevator, Acta Astronautica, 2010, Vol. 66, no. 9-10, pp.1485-1467.
- Cohen S.S., Misra A.K. The effect of climber transit on the, space elevator dynamics, Acta Astronautica, 2009, Vol. 64, no.5-6, pp.538-553.
- Woo P., Misra A.K. of a partial space elevator with multiple climbers, Acta Astronautica, 2010, Vol.67, no.7-8, pp.753-763.
- Ledkov A.S., Pikalov R.S. Nauka i obrazovanie, 2014, no. 5, pp. 206-216.
- Aslanov V.S., Ledkov A.S., Misra A.K., Guerman A.D. Dynamics of space elevator after tether rupture, Journal of Guidance, Control, and Dynamics, 2013, Vol. 35, no. 4, pp.986-992.
- Kojima H., Sugimoto Y., Furukawa Y. Experimental study on dynamics and control of tethered satellite systems with climber, Acta Astronautica, 2011, Vol. 69, no. 1-2, pp.96-108.
- Markeev A.P. Teoreticheskaya mekhanika (The theoretical mechanics), CheRo, 1999, 569 p.
- Beletskii V.V., Levin E.M. Dinamika kosmicheskikh trosovykh sistem (Dynamics of space tether systems), Moscow, Nauka, 1990, 329 p.
- Balk M.B., Demin V.G., Kunitsyn A.L. Sbornik zadach po nebesnoi mekhanike i kosmodinamike (Collection of tasks of heavenly mechanics and cosmodynamics), Moscow, Nauka, 1972, 336 p.