Oh no, guys don't be confused with sideral and solar day

Let's start from square one

Number of solar middays (noon) = Number of solar midnights;- Always - Right

Earth traced it's orbit (either circular or elliptical) in between outer circle and inner circle around the sun as shown in Fig 2 (not to the scale) - Right

Any point on the outer circle represents solar midnight while on inner circle solar noon - Right

The length of an outer circle is greater than the length of the inner circle - Right

This means the # of Midnights > # of Middays or Occurrence of midnights > Occurrence of middays when the earth revolves around the sun in its orbit – Right

Although its clearly visible either from the outer and inner circles or we can straight them (outer, middle and inner circles) as shown i Fig 3

Detail analysis of why the # of Midnights > # of Middays or Occurrence of midnights > Occurrence of middays

Fig #1: Noon and Midnight occur at fixed point N and AN respectively when the earth rotates on its axis but has zero orbital motion - Right

Now as the earth has orbital motion too besides its axial rotation therefore

Fig #4 represents the occurrence of one (1) or single Noon and Midnight when the earth rotates on its axis and moves in its orbit around the sun

We know, Relative to the sun

The orbital velocity of the earth at midnight > The orbital velocity of the earth at Noon

As soon as Midnight occurs at B, Noon occurs at D - Right (Fig 4)

Midnight has to travel more in space as compared to Noon because of its greater orbital velocity - Right

Thus Midnight travels from B to A while Noon travels from D to C

Why - Because

The earth spins on its axis at the speed of 30 m/sec. The traveling speed of the earth is 30,000 m/sec in its orbit. (30,000 m/sec >>>> 30 m/sec). As

Circumference of outer circle > Circumference of an inner circle

Therefore there are two possibilities

EITHER # of Midnights > # of Middays as shown in Fig of the orbit of the earth around the sun (which is impossible)

OR there must be the happening of traveling of Noon and Midnight without the axial rotation (relative to the sun) in the orbit of the earth as explained above

Thus

Relative to the sun,

The earth moves in its orbit but has zero axial rotation (no spinning) due to its high orbital speed as compared to its spinning

Noon moves from D to C (there is constant noon from D to C) -

Midnight moves from B to A (there is constant Midnight from B to A)

I haven't calculated the time-span (DURATION) of the above drag w/o spin

Since, Relative to sun, the earth doesn't spin from D to C and there is a constant Noon from D to C, therefore, the growth of shadow stops on earth when the earth moves from D to C in its orbit or during the occurrence of single Noon