@morphyms1817 I don't remember where it was written. I just read it somewhere a few years ago...
Let me make my own estimate here:
I used a few resources, all of them being non-study websites (because I don't know how to use the Jeans Escape formula to calculate atmosphere mass loss and studies don't give me many useful tips on that nor the amount of solar wind/xray emission through time). I came up with this:
100g of mass is lost per second (a website told me this).
Assuming this, it can be calculated that 3.15410^6 kg of mass is lost per year or 3.15410^15 kg per billion years.
The sun started with a 100x stronger solar wind (compared to today) that went down to <10x by 3.8-4 billion years ago.
So, let's say it averaged 10x (they say averaged 10-20x so I'll take 10x) in the first billion years. I want to include that fact that Mars had a strong magnetic field until about 4 billion years ago.
3.15410^1510=3.154*10^16 kg of mass lost in the first billion years
Then after that, let's take a smaller number (say, 3x), so now, 9.46*10^15kg of mass lost
And then for the next 2.5 billion years, let's use current rates.
3.15410^152.5= 7.88*10^15kg of mass lost.
This gives about 4.68 * 10^16 kg of mass loss.
The Earth's atmosphere has a mass of 5.15*10^18 kg.
Mars's atmosphere would have a mass of 1/2^2 (surface area because atmosphere wraps around the surface)5.1510^18 kg = 1.29*10^18 kg of atmosphere at 1 atm pressure.
4.6810^16kg/1.2910^18kg = 0.0363 atm lost.
0.0363 atm is lost in 4.6 billion years.
Which means that if Mars started with 0.5 bar - 2 bar (which is roughly 0.5 atm - 2 atm) of pressure, it wouldn't have lost much and would remain habitable...
But then, once again, this is just an estmation...
@morphyms1817 I don't remember where it was written. I just read it somewhere a few years ago...
Let me make my own estimate here:
I used a few resources, all of them being non-study websites (because I don't know how to use the Jeans Escape formula to calculate atmosphere mass loss and studies don't give me many useful tips on that nor the amount of solar wind/xray emission through time). I came up with this:
100g of mass is lost per second (a website told me this).
Assuming this, it can be calculated that 3.154*10^6 kg of mass is lost per year or 3.154*10^15 kg per billion years.
The sun started with a 100x stronger solar wind (compared to today) that went down to <10x by 3.8-4 billion years ago.
So, let's say it averaged 10x (they say averaged 10-20x so I'll take 10x) in the first billion years. I want to include that fact that Mars had a strong magnetic field until about 4 billion years ago.
3.154*10^15*10=3.154*10^16 kg of mass lost in the first billion years
Then after that, let's take a smaller number (say, 3x), so now, 9.46*10^15kg of mass lost
And then for the next 2.5 billion years, let's use current rates.
3.154*10^15*2.5= 7.88*10^15kg of mass lost.
This gives about 4.68 * 10^16 kg of mass loss.
The Earth's atmosphere has a mass of 5.15*10^18 kg.
Mars's atmosphere would have a mass of 1/2^2 (surface area because atmosphere wraps around the surface)*5.15*10^18 kg = 1.29*10^18 kg of atmosphere at 1 atm pressure.
4.68*10^16kg/1.29*10^18kg = 0.0363 atm lost.
0.0363 atm is lost in 4.6 billion years.
Which means that if Mars started with 0.5 bar - 2 bar (which is roughly 0.5 atm - 2 atm) of pressure, it wouldn't have lost much and would remain habitable...
But then, once again, this is just an estmation...