Three things to look at first when reading a green

  • Greens & ball roll

Most missed putts come down to the read, not the stroke. Here are the three things to check as soon as you get to the green, together with the physics that explains why they matter. For each one, we show how much it matters with numbers from the same physics model as the Putt Break Calculator.

Unless stated otherwise, the numbers in this article are for Stimp 10, with a pace that would finish 40 cm past the hole. The "aim offset" is how far to the side of the hole you need to aim for the putt to drop.

A 6 m putt on a 1.5° side slope in the Putt Break Calculator, seen from the player's eye line. The ball runs almost straight for the first half, then curves sharply left near the hole and drops

The picture above is a 6 m putt on a 1.5° side slope, viewed from the player's eye line in the Putt Break Calculator. Aim 85 cm right of the hole and it drops. The first half is nearly straight; most of the break happens close to the hole. Keep that shape in mind as we go through the three points in turn.

1. The direction of the steepest slope

Start by working out which way water would run off. The break is largest when the slope runs straight across the ball–cup line, and there is no break at all when it runs straight up or down it.

The sideways acceleration is:

a = (5/7) · g · sin(slope angle)

The 5/7 is there because the ball is rolling: part of the push from the slope goes into spinning it faster. That is 0.12 m/s² for 1°, and 0.24 m/s² for 2°.

Felt for the whole time t that the ball is rolling, this acceleration pushes it sideways by roughly

sideways drift ≈ ½ · a · t²

So the break is close to proportional to the slope, and grows with the square of the time the ball is rolling. Here are the computed aim offsets.

Side slope 3 m 5 m 8 m
0.5° 13 cm 25 cm 43 cm
1° 27 cm 50 cm 86 cm
2° 56 cm 105 cm 182 cm
3° 91 cm 172 cm 301 cm

Going from 1° to 2° roughly doubles the aim offset. Going from 3 m to 8 m, 2.7 times the distance, raises it 3.2 times, because longer putts spend longer rolling.

The same side slope breaks differently uphill and downhill

When the steepest slope runs at an angle, split it into a sideways part and an up-or-down part. The up-or-down part does not cause break, but it changes how long the ball is rolling.

Here are the aim offsets for a 4 m putt with a 1° side slope, adding an uphill or downhill component.

Up/down slope Uphill 2° Uphill 1° Flat Downhill 1° Downhill 2°
Aim offset 25 cm 30 cm 38 cm 52 cm 81 cm

The side slope is the same 1° throughout, yet downhill 2° breaks more than three times as much as uphill 2°. Downhill the ball rolls slowly for a long time; uphill it rolls quickly for a short time. Once you have read which way it breaks, check whether it is uphill or downhill. That alone removes a large part of the error in your read.

2. The green speed

A Stimpmeter reading tells you how many feet a ball rolls when sent off at a fixed speed. On a faster green the rolling resistance is lower, so the ball keeps rolling for longer over the same distance.

In other words, the faster the green, the bigger the break. Working through the equations of motion, the shape of the line is set almost entirely by "slope × Stimp reading", so break is roughly proportional to the Stimp reading.

Stimp reading 8 ft 10 ft 12 ft 14 ft
Aim offset, 3 m with 1° side slope 22 cm 27 cm 32 cm 38 cm

A line that is one cup out at 10 feet becomes about 1.3 cups at 13. The link between Stimp reading and rolling resistance is derived in "What is a Stimpmeter?".

3. The slope along the whole line (don't be fooled by where the break shows)

The ball visibly breaks most sharply just before it reaches the cup. As the speed drops, the same sideways acceleration bends the path far more:

curvature = sideways acceleration / speed²

Halve the speed and the curvature goes up four times. To see this, here is how far a putt on a 1° side slope has strayed from its starting direction (the aim line) at each point along the way, as a share of how far it has strayed by the time it reaches the hole.

Distance After 1/4 Halfway After 3/4 Share in the last 1 m
3 m 4% 18% 47% 64%
5 m 4% 17% 45% 47%
8 m 4% 17% 44% 34%

Whatever the distance, the first half of the putt accounts for less than 20% of the deviation. On a 3 m putt, two thirds of it becomes visible in the last metre.

But this is where the deviation shows up, not which part of the slope sets the aim. So we calculated how much the aim would change if only part of the line had a 1° side slope, as a share of the aim when the whole line is sloped.

Distance Slope in the first half Slope in the second half Slope in the first 1 m Slope in the last 1 m
3 m 59% 40% 40% 23%
5 m 57% 43% 23% 12%
8 m 55% 44% 14% 7%

It is actually the slope in the first half that counts most for the aim. The slope in the last metre before the hole counts least at every distance. A small change of direction near the ball keeps adding up over the whole remaining distance to the hole. You "see" the break near the hole because the deviation created by the earlier slope only shows once the ball slows down. Slope right by the hole changes the ball's direction too, but there is almost no distance left for it to act.

So when you settle on a line, don't judge it only from the cup area where the break shows; read the slope from the ball all the way to the hole. If the slope is uniform, reading around the middle of the line gives a sensible representative value. On a line where the slope changes, do not give the ball side less weight than the hole side. The area around the hole is often trampled into a slightly different slope, so it is worth checking, but setting your aim from it alone will lead to misreads. The section-by-section calculation is explained in detail in "Is AimPoint physically correct?".

4. Pace changes the break too

The numbers so far were for a pace that would finish 40 cm past. On the same line, a firmer putt goes past the hole faster and breaks less. Here are the aim offsets on a 1° side slope at Stimp 10, by how far the ball would finish past the hole:

Finishes past by 10 cm 20 cm 40 cm 80 cm 120 cm
3 m 33 cm 31 cm 27 cm 22 cm 19 cm
5 m 58 cm 55 cm 50 cm 43 cm 38 cm

Between dying it in (10 cm) and hitting it firm (80 cm), the aim on a 5 m putt moves by about 15 cm. The hole's radius is 5.4 cm, so line and pace have to be chosen together or the putt will not drop. Whether to hit it firm and take the break out, or die it in and play the break, is compared in "Is it better to "hit it firm" or to "play the line"?".

How far does a misread send the ball?

You can only judge a slope by eye, so some misreading is unavoidable. How much can you get away with? Here the true side slope is 1°. The putt is read as a different angle and hit with the best pace and aim for that read; the table shows how far to the side of the hole it ends up.

Slope as read 3 m 5 m
0.5° 13 cm low 23 cm low
0.75° 6 cm low 11 cm low
1° (correct) 0 cm 0 cm
1.25° 6 cm high 12 cm high
1.5° 12 cm high 24 cm high

"Low" is the downhill side (the amateur side) and "high" the uphill side (the pro side). Misread a 3 m putt by 0.25° and it misses by 6 cm — about the radius of the hole. To hole a 3 m putt you need to read the slope to within 0.25°. That is a drop of about 4 mm per metre. It is not something you can see.

So rather than relying on your eyes alone, it is realistic to combine several clues:

  • Look from low down. Crouching behind the ball exaggerates the slope
  • Feel it through your feet. Stand beside the line and notice which foot takes your weight
  • Picture the water running off. Greens are usually tilted towards ponds or low ground so they drain
  • Watch other balls. A ball rolling the same way — from the group ahead or your playing partners — is the best clue there is

A routine for the green

Put all of this in order and you get a routine:

  1. Look at the overall tilt as you walk up to the green. The slope gets harder to see once you are on it
  2. Decide the direction of the steepest slope. Across the ball–hole line, along it, or at an angle?
  3. Check whether it is uphill or downhill. The same side slope breaks more downhill (1.7 to 3 times as much on a 4 m putt with a 1° side slope)
  4. Apply the day's speed. Check the roll on the practice green; if it is fast, allow for more break
  5. Read the slope along the whole line. The break shows near the hole, but the aim is set by the slope over the whole line, including the ball side. Don't decide from the cup area alone
  6. Choose the pace first, then the aim. On the same line, the pace changes where you need to aim

Check it for yourself

Enter the distance, slope and Stimpmeter value into the Putt Break Calculator and it will give you the break and the apex (the point of maximum sideways deviation) as numbers. Comparing those against your own read shows you where you tend to over- or under-estimate. To check aim offsets for the distances and slopes you meet most often in one table, build one with the Break Chart.


Conditions: this site's physics model. Launch angle 2°, 20% topspin at launch, 15% low-speed rise in resistance, no grain. Aim offsets are for a pace that would finish 40 cm past, on the line that sends the ball through the centre of the hole.