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Journal of Mathematical Techniques and Computational Mathematics(JMTCM)

ISSN: 2834-7706 | DOI: 10.33140/JMTCM

Impact Factor: 1.3

The Past, Present and the Futuristic Earth-Moon Orbital-Globe Dynamics - and its Habitability

Abstract

Bijay Kumar Sharma

Using Advanced Kinematic Model (AKM), the unfolding of Earth’s eco-system under the influence of the evolving tidally interacting Earth-Moon System (E-M system) is studied. E-M system is born 4.467Gy ago at inner geo-syn- chronous orbit (aG1 = 15,000Km) which is a Total Energy Maxima Hill Top (+4.18x10^30J). E-M system tidally evolves to its final interlocking orbit in 97Gy from NOW at outer geo-synchronous orbit (aG2 = 534,590.6Km) which is Total Energy Minima Valley (- 2.64x10^28J). Tidal evolution is accompanied with synchronization and circular- ization of Moon’s orbit but co-planarization with Ecliptic plane remains unachievable due to weak tidal coupling between Earth and Moon. E-M system falls in Cassini State 1 in 214My from NOW. In 992.56My from NOW Moon’s ‘orbit’ gets completely circularized and synchronized. In 1.1Gy Sun’s brightness increases 10% and Earth becomes moist greenhouse planet. In 1.3458Gy from NOW Earth Obliquity angle reaches an eco-hostile value of 30.420 with complete destruction of Habitat trinity. In 2Gy from NOW due to Moon’s resonance passage there is large oscilla- tions of obliquity and severe climatic alterations. In 3.5Gy Sun’s brightness increases 40% and Earth becomes a runaway greenhouse planet reducing to a molten remnant. If E-M system survives Red Giant Branch stage, Thermal Pulse-Asymtotic Giant Branch stage, the Planetary Nebular phase and if it survives the present phase of Big-Bang of our Bouncing Universe then in 97Gy from NOW Moon will get interlocked with Earth in a triple synchrony orbital period of 44.7473 d at aG2 = 534,590.6Km.

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