If earth's core was a molten liquid metal would the earth become wablly as it comes close to Sun?

Answer 1

The Earth's inner core is solid iron-nickel, surrounded by an outer core of liquid iron and nickel. The Earth doesn't get very close to the sun (perihelion), as the orbit is nearly circular. However, the perihelion occurs during the winter solstice (in the northern hemisphere), which is around December 21.
During a new moon, when the moon and sun exert gravity in the same direction, there is increased seismic and volcanic activity.

Answer 2

As I understand it, the earth's core is a liquid - molten rock. So, why would it become wobbly?