A better option to control climate due to the sun would be to build a https://en.wikipedia.org/wiki/Space_sunshade between Earth and the Sun. While the common design is a monolithic piece of metal to block the sun, a more practical design would involve a swarm of reflective robots flying in the appropriate set of orbits. They would be powered by solar panels and maneuver using solar sails to constantly adjust their orbits. That would allow your to block as much sunlight as you want and adjust the levels on a daily basis.
You could also divert sunlight rather than blocking it which means you could increase the amount of sun the Earth gets if you want more light. Or you could use the swarm to focus sunlight on a certain part of the Earth while blocking light to other parts. This would allow for localized climate modification or even weather modification if you had a powerful enough supercomputer to predict the chaotic effects.
Since you could adjust the light distribution on the order of days rather than centuries, there would be a lot more room for fine-grained control compared to orbital modification.