Mars potential appearance during the Noachan epoch
If the martian impactor formed in one of the Lagrangian points of Mars, it would be expected to have similar composition to Mars or the Ceres asteroids. The impactor's core would have sank into Mars core, enriching the core with radioactive Iron and Nickel and increasing its total size and resulting in an increase in core radioactivity and core decay lifetime and a sharp spike in Mars magnetic field that would have been magnetically recorded in the cooling basaltic magma in the Borealis Basin as opposed to crustal material which cooled during earlier or later martian epochs.
Other physical effects also include an increase in total angular momentum of the Mars-Phobos-Deimos system.
40 percent of Mars' crust ejected into Mars' orbit as an orbiting ring of debris would have quickly coalesced into a highly rounded molten basaltic sphere and quickly cooled into a highly rounded basaltic moon within less than a month, but in no more than a century.
A rough calculation of the amount of basaltic material ejected into Mars orbit from the impactor:
m = f \rho_b dV = f 4 \pi \rho_b R^2_{\circ} dr
Key:
f = 0.4 - fraction of crustal material ejected into an orbiting ring of debris
\rho_b = 3 \cdot 10^3 \; \frac{\text{kg}}{\text{m}^3} - Basalt density
R_{\circ} = 3396.2 \cdot 10^3 \; \text{m} - Mars radius
dr = 50 \cdot 10^3 \; \text{m} - Mars crust thickness
Mass of basaltic material ejected into Mars orbit from the impactor:
\boxed{m = 8.697 \cdot 10^{21} \; \text{kg}}
The masses of Phobos and Deimos:
m_1 = 1.072 \cdot 10^{16} \; \text{kg} - Phobos mass
m_2 = 1.48 \cdot 10^{15} \; \text{kg} - Deimos mass
Although I am not aware of any theory that suggests that Phobos and Deimos were blasted from Mars' surface into orbit as opposed to being captured objects from the Ceres asteroid belt or Mars' Lagrangian locations.
There also seems to be a similar geologic chronology between the Theia-Terra impact theory and the impactor-Mars theory:
4.53 to 4.6 billion years ago - Theia-Terra theory
4.4 billion years ago - impactor-Mars theory
Which may indicate that dwarf planets, rogue moons and asteroids debree may be a common formation in the Lagrangian points of planets during planetary formation which inevitably impact the primary orbiting proto-planet via gravitational perturbations from stable Lagrangian locations.
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Reference:
http://wiki.answers.com/Q/Density_of_basalt"
http://www.nasa.gov/worldbook/mars_worldbook.html"
http://en.wikipedia.org/wiki/Giant_impact_hypothesis#Theia"
http://en.wikipedia.org/wiki/Mars#Impact_topography"
http://en.wikipedia.org/wiki/Phobos_%28moon%29"
http://en.wikipedia.org/wiki/Deimos_%28moon%29"
http://en.wikipedia.org/wiki/Lagrangian_point"