On this page I will work out a rough outline for warm and cool periods as well as ice ages and interglacial periods.
Of note is the fact that ice ages went from one every 40,000 to about 100,000 years about 1,000,000 years ago. When an ice age occurs it is sudden speaking in geological terms.
An outline will be made so that the reason for limits as in f(x) = ∫ ∆y/∆x. What will be unique about this outline is that the Earth itself will become a variable.
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With the math, the Sun’s mass is 1.989 x 10^30 kg. Orbital velocity is calculated by v = √Gm/r. Inertia is I = mr^2 with velocity not given.
This helps to explain Isaac Newton’s 3 Body Problem
Please refer to the Ice Ages and Interglacials page for details.
Ice Ages and Interglacials will use different math than warm and cool periods. Those are 2 different cause and effects.
When the mass of glaciers is considered, that change in the Earth’s moment of inertia corrects the imbalance caused by the Pacific Ocean and land masses in the northern hemisphere.
With an ice age,
axial tilt start; 22.1°
present axial tilt; 23.4393 degrees
axial tilt finish; 24.5°
0.001607° of axial tilt a year.
years; 100,000
shift in inertia?
Land Mass, northern hemisphere 68,000,000 km^2 x 800 – 840 meters = estimated volume
(68 x 10^6) x (8.2 x 10^2) = (volume) (5.576 x 10^7) x 1,350kg = 1.26^14 kg x velocity (1674.7km/s)
= 2.110122e+17 = 71308830 Joules of energy
= centripetal force
Earth’s moment of inertia/centripetal force/point factored
Density of Soil 1,000 to 1,700 kg/m^3
times estimated volume = estimated mass/stored kinetic energy
mass of the Earth; 5.92 x 10^24
Centripetal force;
Sun’s orbital velocity g = √Gm/r
1.989 x 10^30kg
Sun’s gravity; g = Gm/r^2
Distance from the center of the Sun to the orbital path
Earth/Moon center of mass (barycenter) – the barycenter, which lies inside the Earth about 4,671 km to 4,700 km from its center,
Earth/Moon mass – 5.9736 x 10^ 24. kg + 7.349 x 1022 = 6.04549e+24kg
Earth/Moon orbital velocity – 107,218 km/h
Earth velocity; 30 km/s