Analytical series representing DE431 ephemerides of terrestrial planets

Kudryavtsev, S. M.

doi:10.1093/mnras/stv2892

Cited by 7 publications

(5 citation statements)

References 6 publications

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“…As the series expansions (Equation ) need to be truncated at certain level of precision (the series can involve several thousand of terms, see e.g., Kudryavtsev, 2016, 2017), and we were interested in the most important periodic oscillations of the selected orbital parameters, so we restricted ourselves, in principle, to the first 250 terms of each expansion. Prior results show that this threshold corresponds to oscillations of the order of 0.4 km in distance or

\sim 3 \times 1 0^{- 9}

au (au: astronomical unit); in addition, this corresponds to precision of the order of

\sim 1 \times 1 0^{- 8}

or better in non‐dimensional quantities.…”

Section: Methodsmentioning

confidence: 99%

“…The

h

parameter reckoned from the moving equinox of the date is called the climatic precession index (although at short‐term scale, it is fundamentally affected by nutation). Then,

e

and

ϖ

can be replaced by

h

and

k

variables; indeed, they are preferred in the semi‐analytical development of planetary equations (Kudryavtsev, 2016, 2017; Simon et al., 2013).…”

Section: Methodsmentioning

confidence: 99%

“…Unfortunately, a determination of the planetary/lunar perturbations on

λ

using expansion methods, such as the SK method, is non‐effective because of the existence of numerous terms with similar frequencies and amplitudes. A way of resolving this problem is to expand the mean orbital longitude

λ_{3}

(Kudryavtsev, 2016, 2017; Simon et al., 2013). In Appendix , we show how

r

can be casted as a function of

λ_{3}

.…”

Section: Methodsmentioning

confidence: 99%

“…This permits the identification and evaluation of the main disturbing terms in each orbital parameter obtained from these ephemerides. In particular, Kudryavtsev (2007Kudryavtsev ( , 2016Kudryavtsev ( , 2017, unlike the procedure involving classical Fourier analysis, developed and used a method in which both amplitudes and arguments of the series terms (based on planetary ephemerides) are adjusted as high-degree polynomials of time. Then, the periodic perturbations in certain orbital parameter can be identified and expanded in a trigonometric series, with their planetary origins clearly determined.…”

Section: Accepted Articlementioning

confidence: 99%

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Possible Origin of Some Periodicities Detected in Solar‐Terrestrial Studies: Earth's Orbital Movements

Cionco

Kudryavtsev

Soon

2021

Earth and Space Science

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Planetary cycles have been argued to be detected in key geophysical time series 11 and attributed to planetary influence on solar activity 12 • These quasi-periods can be identified in the oscillations of the Earth's orbital 13 movement, which directly modulate incoming solar fluxes 14 • A hypothesis that some of these quasi-periods could be fully or partially origi-15 nated in changes of the Sun-Earth geometry is put forth

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\sim 3 \times 1 0^{- 9}

au (au: astronomical unit); in addition, this corresponds to precision of the order of

\sim 1 \times 1 0^{- 8}

or better in non‐dimensional quantities.…”

Section: Methodsmentioning

confidence: 99%

“…The

h

parameter reckoned from the moving equinox of the date is called the climatic precession index (although at short‐term scale, it is fundamentally affected by nutation). Then,

e

and

ϖ

can be replaced by

h

and

k

variables; indeed, they are preferred in the semi‐analytical development of planetary equations (Kudryavtsev, 2016, 2017; Simon et al., 2013).…”

Section: Methodsmentioning

confidence: 99%

“…Unfortunately, a determination of the planetary/lunar perturbations on

λ

λ_{3}

(Kudryavtsev, 2016, 2017; Simon et al., 2013). In Appendix , we show how

r

can be casted as a function of

λ_{3}

.…”

Section: Methodsmentioning

confidence: 99%

Section: Accepted Articlementioning

confidence: 99%

See 2 more Smart Citations

Possible Origin of Some Periodicities Detected in Solar‐Terrestrial Studies: Earth's Orbital Movements

Cionco

Kudryavtsev

Soon

2021

Earth and Space Science

View full text Add to dashboard Cite

show abstract

“…and then perform Fourier analysis on its post-fit residuals. In the future, this preliminary procedure will be replaced with a more sophisticated one, such as the approach in the works (Kudryavtsev 2007(Kudryavtsev , 2016.…”

Section: Contributions Of P 1 and Pmentioning

confidence: 99%

Relativistic time transfer for a Mars lander: from Areocentric Coordinate Time to Barycentric Coordinate Time

Yang

et al. 2017

Res. Astron. Astrophys.

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As the second step of relativistic time transfer for a Mars lander, we investigate the transformation between Areocentric Coordinate Time (TCA) and Barycentric Coordinate Time (TCB) in the framework of IAU Resolutions. TCA is a local time scale for Mars, which is analogous to the Geocentric Coordinate Time (TCG) for Earth. This transformation has two parts: contributions associated with gravitational bodies and those depending on the position of the lander. After setting the instability of an onboard clock to 10−13 and considering that the uncertainty in time is about 3.2 microseconds after one Earth year, we find that the contributions of the Sun, Mars, Jupiter and Saturn in the leading term associated with these bodies can reach a level exceeding the threshold and must be taken into account. Other terms can be safely ignored in this transformation for a Mars lander.

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