The King's nephew, 46, and his long-term girlfriend are understood to have ended their relationship a couple of months ago.
A friend of the couple tells us: "Peter and Lindsay made the difficult decision to separate as they were spending less time together, given work and family commitments.
"Peter's work in Formula 1 meant he has been away non-stop. He has been travelling all over the world and Lindsay is based in Scotland, so it's been hard for them to see each other.
"It obviously came as a shock, as most people thought they were absolutely rock-solid - it's very sad."
Peter's official spokesman declined to comment, saying it was a "private matter".
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THROWING IT BACK TO THE 1990S 'VOGUE' ERA OF THE SUPERMODEL
KATE MOSS LEADS FAMOUS FACES REFLECTING ON FASHION HEYDAY
FORMER 'MADE IN CHELSEA' STAR FRAN NEWMAN-YOUNG
DAZZLES IN BESPOKE WEDDING GOWN AS SHE TIES THE KNOT IN STYLE IN MAJORCA
LENDING SUPPORT TO CHILDREN'S HOSPICE PRINCESSES BEATRICE AND EUGENIE
BRING LIGHT INTO LITTLE ONES' LIVES AS THEY PLANT A SYMBOL OF HOPE
ON BUOYANT FORM AFTER HIS WIFE'S GOOD NEWS THE PRINCE OF WALES
DISHES OUT THE HUGS ON VISIT FROM THE HEART
WITH AN INCREDIBLE GLIMPSE INTO FAMILY LIFE THE PRINCESS OF WALES
SHARES MESSAGE OF HOPE AS SHE LOOKS TO THE FUTURE AND BALANCING HER ROLE
IN HIGH SPIRITS AT THE BRAEMAR HIGHLAND GAMES THE KING AND QUEEN
ENJOY LAUGHS APLENTY AT A FAVOURITE EVENT BEFORE MONARCH QUIETLY MARKS TWO YEARS ON THE THRONE
AS HOLLY WILLOUGHBY RETURNS NATIONAL TELEVISION AWARDS
STARS DAZZLE ON NIGHT OF GLAMOUR AND GONGS
CREATING A NEW SISTER ACT ELIZABETH OLSEN
ON CO-STARRING WITH NATASHA LYONNE AND CARRIE COON
MAKING HISTORY AT STARSTUDDED EVENT IN NEW YORK TAYLOR SWIFT
SMASHES IT WITH SEVEN OF THE BEST AT THE V.M.As
KIM KARDASHIAN AND DAKOTA JOHNSONS
FASHION AND COMPASSION AT A-LIST CHARITY EVENT