A novel type of ER3BP introducing Milankovitch cycles or seasonal irradiation processes influencing onto orbit of planet

Ershkov, Sergey V.; Leshchenko, Dmytro; Prosviryakov, E. Yu.

doi:10.1007/s00419-022-02300-4

Cited by 8 publications

(4 citation statements)

References 36 publications

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“…Similar processes take place in systems with two or more exoplanets [39]. As far as the system K2-18 is concerned, the options with Milanković-like cycles are quite different for the single-planet and two-planet configurations.…”

Section: Milanković Cycles Of Habitable Exoplanetsmentioning

confidence: 89%

Secular Orbital Dynamics of the Possibly Habitable Planet K2-18 b with and without the Proposed Inner Companion

Makarov,

Goldin

2023

Universe

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The transiting planet K2-18 b is one of the best candidates for a relatively nearby world harboring biological life. The long-term orbital evolution of this planet is investigated using theoretical and purely numerical techniques for two possible configurations: A single planet orbiting the host star, and a two-planet system including the proposed inner planet close to the 4:1 mean motion rationalization. The emphasis is made on the secular changes of eccentricity and orbital inclination, which are important for the climate stability of the planet. It is demonstrated that the secular orbital dynamics of planet K2-18 b with an internal companion are accurately represented by the periodic eccentricity and inclination exchange on the time scales of a few Kyr. A single planet is not expected to experience fast orbital changes, with the much weaker tidal and rotation-driven perturbations mostly reflecting in a slow periastron and nodal precession. The tidal decay of the orbit is too insignificant on the time scale of the stellar age. However, the conditions for the habitability of a single K2-18 b planet are much improved if, like the Earth, it rotates faster than the mean motion and its rotation angle is tilted by a hypothetical moon. Milanković’s cycles of the habitable planet’s climate are discussed for both configurations.

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Section: Milanković Cycles Of Habitable Exoplanetsmentioning

confidence: 89%

Secular Orbital Dynamics of the Possibly Habitable Planet K2-18 b with and without the Proposed Inner Companion

Makarov,

Goldin

2023

Universe

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“…Details regarding semi-analytical formulation of how Milankovitch cycles can be approximated during the time period of chosen numerical scheme for the calculation can be found in [33]. As far as we know, the scale of Milankovitch cycles refers to thousands of years; nevertheless, they should be considered in the mathematical model of Earth heat flux thermobalance.…”

Section: Discussionmentioning

confidence: 99%

Revisiting Long-Time Dynamics of Earth’s Angular Rotation Depending on Quasiperiodic Solar Activity

2023

Self Cite

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Having taken into account the nonsymmetric form of Earth’s surface (which is an oblate spheroid as the first approximation, with oblateness of approx. 1/300), we outline in the current research that additional large-scale torques stem from unbalanced (reactive) reradiating heat flows back into outer space. They arise during long-time dynamics of Earth’s angular rotation depending on quasiperiodic solar activity. The key idea of our research supports the mainstream idea of most of the researchers in the scientific community regarding this matter. It stipulates that the activity of earthquakes strongly correlates with changes in the regime of Earth’s spin dynamics during all periods of observation. We have demonstrated here that the long-time dynamics of Earth’s angular rotation depends on the quasiperiodic solar activity by arising additional large-scale torques stemming from unbalanced (reactive) reradiating heat fluxes. The latter carry the momentum outside and at an unpredictable angle to the overall Earth’s surface back into outer space (due to the nonsymmetric form of Earth’s surface).

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“…(6-7) (z on ordinate, f on abscissa axis) for planetoid moving near the Callisto in system "Jupiter-Callisto-satellite". Also, the remarkable additional articles should be cited, which concern the problem under consideration, [14][15][16][17][18][19][20][21][22][23][24][25][26][27][28][29][30][31][32][33].…”

Section: Discussionmentioning

confidence: 99%

On the Motion of Small Satellite near the Planet in ER3BP

2021

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In the current study, we explore stability of motion of satellite around the natural moons of planets in Solar system using the novel concept of ER3BP with variable eccentricity. This concept was introduced earlier when novel type of ER3BP (Sunplanet-satellite) was investigated with variable spin state of secondary planet correlated implicitly to the motion of satellite (in the synodic co-rotating Cartesian coordinate system) for its trapped orbit near the secondary planet (which is involved in kepler duet "Sun-planet"). But it is of real interest to explore another kind of aforedescribed problem, ER3BP (planet-moon-satellite) with respect to investigation of motion of satellite m around the natural moon m moon of planet in Solar system with variable eccentricity of the moon in its motion around the planet. So, we consider here two primaries, M planet and m moon, the last is orbiting around their common barycenter on quasi-elliptic orbit with slow-changing, not constant eccentricity (on a large-time scale) due to tidal phenomena. Our aim is to investigate motion of small dot satellite around the natural moon of planet on quasistable elliptic orbit. Both novel theoretical and numerical findings (for various cases of trio "planet-moon-satellite") are presented in the current research.

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A novel type of ER3BP introducing Milankovitch cycles or seasonal irradiation processes influencing onto orbit of planet

Cited by 8 publications

References 36 publications

Secular Orbital Dynamics of the Possibly Habitable Planet K2-18 b with and without the Proposed Inner Companion

Secular Orbital Dynamics of the Possibly Habitable Planet K2-18 b with and without the Proposed Inner Companion

Revisiting Long-Time Dynamics of Earth’s Angular Rotation Depending on Quasiperiodic Solar Activity

On the Motion of Small Satellite near the Planet in ER3BP

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