Numerical Evaluation of the General Yarkovsky Effect: Effects on Semimajor Axis

Joseph Spitale, Richard J. Greenberg

Research output: Contribution to journalArticle

42 Citations (Scopus)

Abstract

The Yarkovsky effect may play a key role in the orbital evolution of asteroids and near-Earth objects. To evaluate the acceleration under a wide range of conditions, a three-dimensional finite-difference solution to the heat equation is applied to homogeneous, spherical stony bodies with 1-, 10-, and 100-m diameters. This approach employs neither the linearized boundary conditions, the plane-parallel heat flow approximation, nor the assumption of fast rotation used in earlier work. Thus we can explore a wide range of orbital elements and physical properties. Our work agrees well with earlier results in the regimes where their approximations are valid. We investigate a wide range of spin states, including both the "seasonal" (very fast rotation) and "diurnal" (zero obliquity) extremes of the Yarkovsky effect. We find that, for orbits with high eccentricity, the semimajor axis can change much faster than for circular orbits. For such orbits, the orientation of the rotation axis with respect to the direction of pericenter is critical in determining the evolution. A stony main-belt asteroid of diameter 1 m on a high-eccentricity orbit could change its semimajor axis by more than 1 AU in 1.5 Myr.

Original languageEnglish (US)
Pages (from-to)222-234
Number of pages13
JournalIcarus
Volume149
Issue number1
DOIs
StatePublished - Jan 2001

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orbits
eccentricity
asteroid
evaluation
near Earth objects
asteroid belts
orbital elements
obliquity
circular orbits
asteroids
approximation
heat transmission
heat flow
boundary condition
physical property
physical properties
boundary conditions
orbitals
thermodynamics
effect

Keywords

  • Asteroids
  • Dynamics
  • Meteorites
  • Meteoroids

ASJC Scopus subject areas

  • Space and Planetary Science
  • Astronomy and Astrophysics

Cite this

Numerical Evaluation of the General Yarkovsky Effect : Effects on Semimajor Axis. / Spitale, Joseph; Greenberg, Richard J.

In: Icarus, Vol. 149, No. 1, 01.2001, p. 222-234.

Research output: Contribution to journalArticle

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