publication . Article . Preprint . 2019

Propagation and estimation of the dynamical behaviour of gravitationally interacting rigid bodies

Dominic Dirkx; Erwin Mooij; Bart Root;
Open Access English
  • Published: 25 Feb 2019
  • Country: Netherlands
Abstract
Next-generation planetary tracking methods, such as interplanetary laser ranging (ILR) and same-beam interferometry (SBI) promise an orders-of-magnitude increase in the accuracy of measurements of solar system dynamics. This requires a reconsideration of modelling strategies for the translational and rotational dynamics of natural bodies, to ensure that model errors are well below the measurement uncertainties. The influence of the gravitational interaction of the full mass distributions of celestial bodies, the so-called figure-figure effects, will need to be included for selected future missions. The mathematical formulation of this problem to arbitrary degree...
Subjects
free text keywords: Celestial mechanics, Ephemerides, Spherical harmonics, Spin-orbit coupling, Astrophysics - Earth and Planetary Astrophysics, Space and Planetary Science, Astronomy and Astrophysics, Solar System, Cosmology, Astronomy, Physics, Ephemeris, Spin–orbit interaction, Interferometry, Interplanetary spaceflight

Acton, C. (1996). Ancillary data services of nasa's navigation and ancillary information facility. Planetary and Space Science, 44(1):65-70. [OpenAIRE]

Archinal, B., Acton, C., AHearn, M., Conrad, A., Consolmagno, G., Duxbury, T., Hestroffer, D., Hilton, J., Kirk, R., Klioner, S., et al. (2018). Report of the iau working group on cartographic coordinates and rotational elements: 2015. Celestial Mechanics and Dynamical Astronomy, 130(3):22.

Ashenberg, J. (2007). Mutual gravitational potential and torque of solid bodies via inertia integrals. Celestial Mechanics and Dynamical Astronomy, 99:149-159. [OpenAIRE]

Batygin, K. and Morbidelli, A. (2015). Spin-Spin Coupling in the Solar System. The Astrophysical Journal, 810:110. [OpenAIRE]

Bauer, S., Hussmann, H., Oberst, J., Dirkx, D., Mao, D., Neumann, G., Mazarico, E., Torrence, M., McGarry, J., Smith, D., et al. (2016). Demonstration of orbit determination for the lunar reconnaissance orbiter using one-way laser ranging data. Planetary and Space Science, 129:32-46. [OpenAIRE]

Bois, E., Wytrzyszczak, I., and Journet, A. (1992). Planetary and figure-figure effects on the Moon's rotational motion. Celestial Mechanics and Dynamical Astronomy, 53:185-201.

Borderies, N. (1978). Mutual gravitational potential of N solid bodies. Celestial Mechanics, 18:295-307.

Borderies, N. and Yoder, C. F. (1990). Phobos' gravity field and its influence on its orbit and physical librations. Astronomy and Astrophysics, 233:235-251.

Bou´e, G. (2017). The two rigid body interaction using angular momentum theory formulae. Celestial Mechanics and Dynamical Astronomy.

Bou´e, G. and Laskar, J. (2009). Spin axis evolution of two interacting bodies. Icarus, 201:750-767.

Comp`ere, A. and Lemaˆıtre, A. (2014). The two-body interaction potential in the STF tensor formalism: an application to binary asteroids. Celestial Mechanics and Dynamical Astronomy, 119:313-330.

Degnan, J. (2002). Asynchronous laser transponders for precise interplanetary ranging and time transfer. Journal of Geodynamics, 34:551-594.

Dehant, V., Park, R., Dirkx, D., Iess, L., Neumann, G., Turyshev, S., and Van Hoolst, T. (2017). Survey of Capabilities and Applications of Accurate Clocks: Directions for Planetary Science. Space Science Reviews, 212:1433-1451. [OpenAIRE]

Diebel, J. (2006). Representing attitude: Euler angles, unit quaternions, and rotation vectors. Matrix, 58(15-16):1-35.

Dirkx, D. (2015). Interplanetary Laser Ranging - Analysis for implementation in planetary science mission. PhD thesis, Delft University of Technology. [OpenAIRE]

Abstract
Next-generation planetary tracking methods, such as interplanetary laser ranging (ILR) and same-beam interferometry (SBI) promise an orders-of-magnitude increase in the accuracy of measurements of solar system dynamics. This requires a reconsideration of modelling strategies for the translational and rotational dynamics of natural bodies, to ensure that model errors are well below the measurement uncertainties. The influence of the gravitational interaction of the full mass distributions of celestial bodies, the so-called figure-figure effects, will need to be included for selected future missions. The mathematical formulation of this problem to arbitrary degree...
Subjects
free text keywords: Celestial mechanics, Ephemerides, Spherical harmonics, Spin-orbit coupling, Astrophysics - Earth and Planetary Astrophysics, Space and Planetary Science, Astronomy and Astrophysics, Solar System, Cosmology, Astronomy, Physics, Ephemeris, Spin–orbit interaction, Interferometry, Interplanetary spaceflight

Acton, C. (1996). Ancillary data services of nasa's navigation and ancillary information facility. Planetary and Space Science, 44(1):65-70. [OpenAIRE]

Archinal, B., Acton, C., AHearn, M., Conrad, A., Consolmagno, G., Duxbury, T., Hestroffer, D., Hilton, J., Kirk, R., Klioner, S., et al. (2018). Report of the iau working group on cartographic coordinates and rotational elements: 2015. Celestial Mechanics and Dynamical Astronomy, 130(3):22.

Ashenberg, J. (2007). Mutual gravitational potential and torque of solid bodies via inertia integrals. Celestial Mechanics and Dynamical Astronomy, 99:149-159. [OpenAIRE]

Batygin, K. and Morbidelli, A. (2015). Spin-Spin Coupling in the Solar System. The Astrophysical Journal, 810:110. [OpenAIRE]

Bauer, S., Hussmann, H., Oberst, J., Dirkx, D., Mao, D., Neumann, G., Mazarico, E., Torrence, M., McGarry, J., Smith, D., et al. (2016). Demonstration of orbit determination for the lunar reconnaissance orbiter using one-way laser ranging data. Planetary and Space Science, 129:32-46. [OpenAIRE]

Bois, E., Wytrzyszczak, I., and Journet, A. (1992). Planetary and figure-figure effects on the Moon's rotational motion. Celestial Mechanics and Dynamical Astronomy, 53:185-201.

Borderies, N. (1978). Mutual gravitational potential of N solid bodies. Celestial Mechanics, 18:295-307.

Borderies, N. and Yoder, C. F. (1990). Phobos' gravity field and its influence on its orbit and physical librations. Astronomy and Astrophysics, 233:235-251.

Bou´e, G. (2017). The two rigid body interaction using angular momentum theory formulae. Celestial Mechanics and Dynamical Astronomy.

Bou´e, G. and Laskar, J. (2009). Spin axis evolution of two interacting bodies. Icarus, 201:750-767.

Comp`ere, A. and Lemaˆıtre, A. (2014). The two-body interaction potential in the STF tensor formalism: an application to binary asteroids. Celestial Mechanics and Dynamical Astronomy, 119:313-330.

Degnan, J. (2002). Asynchronous laser transponders for precise interplanetary ranging and time transfer. Journal of Geodynamics, 34:551-594.

Dehant, V., Park, R., Dirkx, D., Iess, L., Neumann, G., Turyshev, S., and Van Hoolst, T. (2017). Survey of Capabilities and Applications of Accurate Clocks: Directions for Planetary Science. Space Science Reviews, 212:1433-1451. [OpenAIRE]

Diebel, J. (2006). Representing attitude: Euler angles, unit quaternions, and rotation vectors. Matrix, 58(15-16):1-35.

Dirkx, D. (2015). Interplanetary Laser Ranging - Analysis for implementation in planetary science mission. PhD thesis, Delft University of Technology. [OpenAIRE]

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publication . Article . Preprint . 2019

Propagation and estimation of the dynamical behaviour of gravitationally interacting rigid bodies

Dominic Dirkx; Erwin Mooij; Bart Root;