Magnetizing Mars

... sorry, no


Superconductors do not make a stupid idea into a super idea.

Some talk about terraforming Mars, turning this dead ball of rock into a miniature Earth. Mars has no magnetic field, so an artificial atmosphere (somehow) would get stripped away by solar UV and the much weaker gravity. How would a terraformed Mars 2 compared to Earth and Mars 1 today?

units

Earth

Mars 1

Mars 2

Semimajor Axis

AU

1.0

1.52

1.52

Mass

kg

5.972e24

6.42e23

6.42e23

Radius

km

6371

3389.5

3389.5

Gravity

m/s²

9.81

3.71

3.71

Planet Density

kg/m³

5510

3930

3930

Escape Velocity

m/s

11200

5030

5030

Escape Energy

MJ/kg

63

12.6

12.6

Dipole moment

A-m²

7.94e22

~0

3.4e22

Iron Core radius (est)

km

3400

1800

1800

Atmosphere @surface:

Mass

kg

5.15e18

2.5e16

4e18

Temperature

K

288

210

288

Density

kg/m³

1.2

0.015

1.2

Pressure

kPa

101

0.64

101

Pressure Scale Height

km

8.5

11.5

22.8

Temperature Lapse Rate

K/km

6.5

2.2

?

Primary Components

N₂, O₂

CO₂

N₂, O₂

Molecular Weight

g/mol

30.5

44.0

30.5

Molecular Weight

kg

1.54e-24

2.23e-24

1.54e-24

Thermal Velocity √3kT/2m

m/s

485

345

485

(Vesc/Vthrm

533

213

108

CO₂ mass

kg

3.2e15

2.4e16

?

Conversion tables

The most disturbing problem with Mars 2 is that a hotter, lower-mass gas atoms are more likely to escape in the weak Mars gravity field ... (Vesc/Vthrm)² is halved compared to the colder, higher molecular weight current Mars 1 atmosphere. But we'll ignore that, and also ignore how we can create enough greenhouse effect to heat Mars to Earth surface temperature. Terraforming in science fiction novels is done with a few keystrokes.

The shielding effect of the magnetic field is not due to surface field strength, but the dipole of the planetary magnetosphere compared to the solar wind pressure. Presume the solar wind density is inverse-square - (1/1.52)² or 0.433 less dense than at Earth, so the artificial Martian dipole may be 0.433*7.94e22 A-m² or 3.4e22 A-m² .