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Author Topic:   Lunar recession and Earth receding from the sun
granpa
Member (Idle past 354 days)
Posts: 128
Joined: 10-26-2010

 Message 1 of 3 (821505) 10-08-2017 4:46 PM

There is geological and paleontological evidence that Earth rotated faster and that the Moon was closer to Earth in the remote past. Tidal rhythmites are alternating layers of sand and silt laid down offshore from estuaries having great tidal flows. Daily, monthly and seasonal cycles can be found in the deposits. This geological record indicates that 620 million years ago there were 400±7 solar days/year.

The current rate of lunar recession which has been measured very accurately by mirror's placed on the moon indicates that there should have been 426 days in a year 620 million years ago. The usual explanation is that the moon was receding more slowly in the past. This makes no sense. If anything the moon should have been receding faster in the past.

However, the current rate of lunar recession is consistant with the observation that there were 400 days in a year 620 million years ago if the Earth was closer to the Sun (because the year would be shorter). Its orbital radius would have to have been 0.9589 au at that time.

Recession rate of Earth = 6.85 * 10^-11 au/yr (10.25 m/yr)

Assuming that rate did not change, that puts the Earth at 1-(1- 0.9589) *7.5 = 0.69 at 4.5 billion years ago

﻿If the rate of recession is inversely proportional to the cube of the orbital radius then that puts the Earth just inside the sun 4.5 billion years ago﻿.

Year lengthens by 3.24 seconds per 1000 years﻿

Why BELIEVE that it will rain today when you can KNOW that it might rain today. Belief is unnecessary and illogical.

A moral person is a person that understands that the universe does not revolve around their ego.

A civilized society is a society whose laws do not revolve around any one person or group of people.
The more a society treats everyone as equals the more civilized it is.﻿

 Replies to this message: Message 3 by Admin, posted 10-08-2017 5:46 PM granpa has not yet responded

granpa
Member (Idle past 354 days)
Posts: 128
Joined: 10-26-2010

 Message 2 of 3 (821506) 10-08-2017 4:48 PM

Earth differentiated into gabbro (upper mantle) and peridotite (lower mantle). Earths moon Theia differentiated even further into granodiorite and dunite (olivine).

3 billion years ago Theia's decaying orbit reached the Roche limit and over the next 1 billion years slowly deposited all of its mass onto a ring of mountains circling the earth's equator.

First the ice on its surface was deposited. This formed Earths ocean. Since Earth had no continents at that time the surface of the Earth was completely flooded.

Then the granodiorite was deposited. The granodiorite metamorphosed into the various rocks of the continental crust.

Then 2.4 billion years ago the dunite was deposited. This created the banded iron formations. The dunite sank to the bottom of the mantle where it now forms the d" layer.

Earth rotational angular momentum = orbital angular momentum of moon sized object at Roche limit (18,000 km)

sqrt(G*earth mass/18000 km) = 4.7 km/sec
moon mass * 4.7 km/sec * 18000 km = 6.21 * 10^33 J*s
rotational angular momentum of Earth = 5.86 * 10^33 J*s﻿

For simplicity's sake let's just say Earth has one unit of angular momentum.

Our moon currently has 5 units of angular momentum

Therefore the total angular momentum of the earth-moon system is six units

A moon at the roche limit orbits in 6.7 hours

Therefore if Earth day 1.9 billion years ago (at the point that Theia had completely deposited all it's mass onto the Earth) was 6.7 hours then the Earth had 3.6 units of angular momentum and our current Moon had 2.3 units of angular momentum﻿. (Earth couldn't have been spinning any faster because if it had then Theia would have receded away)

That means our moon had half as much angular momentum as it does now and its orbit was therefore 4 times closer to the earth﻿ 384000/4 = 96000 km﻿ Its orbital period was 0.25^1.5 * 28 days = 3.5 days

Which puts it well outside the orbit of Theia which was orbiting at the Roche limit which is 18000 km.

The current rate of lunar recession puts the Moon 72,000 km closer to Earth 1.9 billion years ago. 3.8 cm * 1.9*10^9﻿

In fact it was 4 * 72,000 km closer﻿. This suggests that rate of tidal recession follows an inverse Cube law﻿

Why BELIEVE that it will rain today when you can KNOW that it might rain today. Belief is unnecessary and illogical.

A moral person is a person that understands that the universe does not revolve around their ego.

A civilized society is a society whose laws do not revolve around any one person or group of people.
The more a society treats everyone as equals the more civilized it is.﻿

Director
Posts: 12571
From: EvC Forum
Joined: 06-14-2002
Member Rating: 3.4

 Message 3 of 3 (821511) 10-08-2017 5:46 PM Reply to: Message 1 by granpa10-08-2017 4:46 PM

Hi Granpa,

Paragraph 1 is a cut-n-paste from Tidal acceleration at Wikipedia, and paragraph 2 is a cut-n-paste from Lunar Recession at Hypography.

The Forum Guidelines state (among other things):

1. Bare links with no supporting discussion should be avoided. Make the argument in your own words and use links as supporting references.

2. Never include material not your own without attribution to the original source.

Grandkids around the world are crying now. Please clean up your act.

 -- Percy EvC Forum Director

 This message is a reply to: Message 1 by granpa, posted 10-08-2017 4:46 PM granpa has not yet responded

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