C# vs Java Enum (for those new to C#)

In C# you can define extension methods on enums, and this makes up for some of the missing functionality.

You can define Planet as an enum and also have extension methods equivalent to surfaceGravity() and surfaceWeight().

I have used custom attributes as suggested by Mikhail, but the same could be achieved using a Dictionary.

using System;
using System.Reflection;

class PlanetAttr: Attribute
{
    internal PlanetAttr(double mass, double radius)
    {
        this.Mass = mass;
        this.Radius = radius;
    }
    public double Mass { get; private set; }
    public double Radius { get; private set; }
}

public static class Planets
{
    public static double GetSurfaceGravity(this Planet p)
    {
        PlanetAttr attr = GetAttr(p);
        return G * attr.Mass / (attr.Radius * attr.Radius);
    }

    public static double GetSurfaceWeight(this Planet p, double otherMass)
    {
        return otherMass * p.GetSurfaceGravity();
    }

    public const double G = 6.67300E-11;

    private static PlanetAttr GetAttr(Planet p)
    {
        return (PlanetAttr)Attribute.GetCustomAttribute(ForValue(p), typeof(PlanetAttr));
    }

    private static MemberInfo ForValue(Planet p)
    {
        return typeof(Planet).GetField(Enum.GetName(typeof(Planet), p));
    }

}

public enum Planet
{
    [PlanetAttr(3.303e+23, 2.4397e6)]  MERCURY,
    [PlanetAttr(4.869e+24, 6.0518e6)]  VENUS,
    [PlanetAttr(5.976e+24, 6.37814e6)] EARTH,
    [PlanetAttr(6.421e+23, 3.3972e6)]  MARS,
    [PlanetAttr(1.9e+27,   7.1492e7)]  JUPITER,
    [PlanetAttr(5.688e+26, 6.0268e7)]  SATURN,
    [PlanetAttr(8.686e+25, 2.5559e7)]  URANUS,
    [PlanetAttr(1.024e+26, 2.4746e7)]  NEPTUNE,
    [PlanetAttr(1.27e+22,  1.137e6)]   PLUTO
}

Enumerations in the CLR are simply named constants. The underlying type must be integral. In Java an enumeration is more like a named instance of a type. That type can be quite complex and - as your example shows - contain multiple fields of various types.

To port the example to C# I would just change the enum to an immutable class and expose static readonly instances of that class:

using System;
using System.Collections.Generic;

namespace ConsoleApplication1
{
    class Program
    {
        static void Main(string[] args)
        {
            Planet planetEarth = Planet.MERCURY;

            double earthRadius = pEarth.Radius; // Just threw it in to show usage
            double earthWeight = double.Parse("123");
            double earthMass   = earthWeight / pEarth.SurfaceGravity();

            foreach (Planet p in Planet.Values)
                Console.WriteLine($"Your weight on {p} is {p.SurfaceWeight(mass)}");

            Console.ReadKey();
        }
    }

    public class Planet
    {
        public static readonly Planet MERCURY = new Planet("Mercury", 3.303e+23, 2.4397e6);
        public static readonly Planet VENUS   = new Planet("Venus", 4.869e+24, 6.0518e6);
        public static readonly Planet EARTH   = new Planet("Earth", 5.976e+24, 6.37814e6);
        public static readonly Planet MARS    = new Planet("Mars", 6.421e+23, 3.3972e6);
        public static readonly Planet JUPITER = new Planet("Jupiter", 1.9e+27, 7.1492e7);
        public static readonly Planet SATURN  = new Planet("Saturn", 5.688e+26, 6.0268e7);
        public static readonly Planet URANUS  = new Planet("Uranus", 8.686e+25, 2.5559e7);
        public static readonly Planet NEPTUNE = new Planet("Neptune", 1.024e+26, 2.4746e7);
        public static readonly Planet PLUTO   = new Planet("Pluto", 1.27e+22, 1.137e6);

        public static IEnumerable<Planet> Values
        {
            get
            {
                yield return MERCURY;
                yield return VENUS;
                yield return EARTH;
                yield return MARS;
                yield return JUPITER;
                yield return SATURN;
                yield return URANUS;
                yield return NEPTUNE;
                yield return PLUTO;
            }
        }

        public string Name   { get; private set; }
        public double Mass   { get; private set; }
        public double Radius { get; private set; }

        Planet(string name, double mass, double radius) => 
            (Name, Mass, Radius) = (name, mass, radius);

        // Wniversal gravitational constant  (m3 kg-1 s-2)
        public const double G = 6.67300E-11;
        public double SurfaceGravity()            => G * mass / (radius * radius);
        public double SurfaceWeight(double other) => other * SurfaceGravity();
        public override string ToString()         => name;
    }
}

In C# attributes can be used with enums. Good example of this programming pattern with detailed description is here (Codeproject)

public enum Planet
{
   [PlanetAttr(3.303e+23, 2.4397e6)]
   Mercury,
   [PlanetAttr(4.869e+24, 6.0518e6)]
   Venus
} 

Edit: this question has been recently asked again and answered by Jon Skeet: What's the equivalent of Java's enum in C#? Private inner classes in C# - why aren't they used more often?

Edit 2: see the accepted answer which extends this approach in a very brilliant way!