A small planet with earthlike gravity

Is it possible to create an Earthlike planet, that is smaller than the Earth , like for example the size of Mars, by altering the core composition like for example making it:

• Iron (Piron ): 75.6%
• Nickel (Pnickel ): 22.0%
• Other Heavy Materials (Pother ): 2.4%

Is it possible to have a planet with a gravity similar (but not equal) to Earth's gravity, with a similar atmosphere and biosphere as well?

My idea is to have a desert world, so if there are features that make that more likely, that's even better.

• Isn't this what you posted before worldbuilding.stackexchange.com/q/254082/30492 as a closed question? You should edit that post and have it reopened, not repost it.
– L.Dutch
Commented Feb 3 at 21:54
• Does this answer your question? Smaller planet Gravity and similarity to Earth one Commented Feb 4 at 3:56
• How DO I open it ? Sorry but I thoguth now one wanted to answer so I thought to open a new one mostly concerning manipulation of core density. Commented Feb 4 at 9:01
• The moment you say desert world, the same biosphere as earth is impossible. Commented Mar 8 at 20:38
• @Naima - the answer to the previous question was pretty comprehensive. What wasn't covered? Commented Mar 19 at 1:46

The equation for surface gravity is $$F=\frac{G\times M1 \times M2}{D^2}$$ (The gravitation constant G multiplied by the mass of object 1 multiplied by the mass of object 2. That is then divided by the square of the distance from the center of mass of object 1 to the center of mass of object 2).