Can the get of a property be abstract and the set be virtual?

I have a base class like this:

public class Trajectory{
    public int Count { get; set; }
    public double Initial { get; set { Count = 1; } }
    public double Current { get; set { Count ++ ; } }
}

So, I have code in the base class, which makes the set-s virtual, but the get-s must stay abstract. So I need something like this:

...
public double Initial { abstract get; virtual set { Count = 1; } }
...

But this code gives an error. The whole point is to implement the counter functionality in the base class instead in all the derived classes. So, how can I make the get and set of a property with different modifiers?

From stackoverflow

• split it into 2 functions:

  public double Initial
  {
      get { return GetInitial(); }
      set { SetInitial(value); }
  }
  
  protected virtual void SetInitial(double value)
  {
      Count = 1;
  }
  
  protected abstract double GetInitial();
  

• Make it neither abstract nor virtual. And make the backing field private. That way, a derived class cannot override it nor can it mess with it.

• No, you can't. At least I haven't found a solution.

  If property is marked as abstract then neither it's getter and setter can have bodies.