On the priority in obtaining the new class of exact solutions to the optimal turn problem of a spherically symmetric rigid body

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Abstract

The priority of A.V. Molodenkov and Ya.G. Sapunkov in obtaining the new class of exact solutions to the optimal turn problem of a spherically symmetric rigid body or a spacecraft considered as a solid is substantiated. It is shown that the article by A.N. Sirotin “A Family of Extremal Angular Velocity Vector Functions with a Constant Absolute Value in the Problem of Optimal Reorientation of a Spherically Symmetric Body with Minimal Energy Consumption, Mechanics of Solids. 2019. V. 54. № 4. P. 502–513” repeats the article by A.V. Molodenkov and Ya.G. Sapunkov “Analytical solution of the optimal slew problem of a spherically symmetric spacecraft in the class of conical motion. Journal of Computer and Systems Sciences International. 2013. V. 52. № 3. P. 491–501” according to its results.

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About the authors

А. V. Моlodenkov

Institute of Precision Mechanics and Control of RAS

Author for correspondence.
Email: molalexei@yandex.ru
Russian Federation, Saratov

References

  1. Sirotin A.N. A Family of Extremal Angular Velocity Vector Functions with a Constant Absolute Value in the Problem of Optimal Reorientation of a Spherically Symmetric Body with Minimal Energy Consumption // Mech. Solids. 2019. V. 54. № 4. P. 502– 513. https://doi: 10.3103/S0025654419040022
  2. The report of the Presidium of the Russian Academy of Sciences “Scientific achievements of the Russian Academy of Sciences in 2010”. Moscow: Nauka, 2011. 488 p. (in Russian)
  3. Molodenkov A.V., Sapunkov Ya.G. A new class of analytic solutions in the optimal turn problem for a spherically symmetric body // Mech. Solids. 2012. V. 47. № 2. P. 167–177. https://doi.org/10.3103/S0025654412020033
  4. Molodenkov A.V., Sapunkov Ya.G. Analytical solution of the optimal slew problem of a spherically symmetric spacecraft in the class of conical motion // J. Comp. Syst. Sci. Int. 2013. V. 52. № 3. P. 491–501. https://doi.org/10.1134/S1064230713020081
  5. Molodenkov A.V., Sapunkov Ya.G. Analytical solution of the time-optimal slew problem of a spherically symmetric spacecraft in the class of conical motion. Journal of Computer and Systems Sciences International, 2014, vol. 53, iss. 2, pp. 159–171. https://doi.org/10.1134/S1064230714020130
  6. Molodenkov A.V., Sapunkov Ya.G. Analytical solution of the optimal attitude maneuver problem with a combined objective functional for a rigid body in the class of conical motions // Mech. Solids. 2016. V. 51. № 2. P. 135–147. https://doi.org/10.3103/S0025654416020011
  7. Molodenkov A.V., Sapunkov Ya.G. Special control regime in optimal turn problem of spherically symmetric spacecraft // J. Comp. Syst. Sci. Int. 2009. V. 48. № 6. P. 891–898. https://doi.org/10.1134/S1064230709060057
  8. Molodenkov A.V. Analytical solution of problems of orientation and optimal control of angular motion of a rigid body (spacecraft) using quaternions. Abstract of the dissertation of the Doctor of Technical Sciences. Saratov, 2017. 40 p. (in Russian)

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