Katherine Johnson

Chapter 1 · The Girl Who Counted Everything

West Virginia, and a family that moved for school

1918 – 1937 · White Sulphur Springs · Institute, West Virginia

Katherine Coleman was born on 26 August 1918 in White Sulphur Springs, West Virginia. She counted compulsively as a child — the steps to the road, the dishes she washed, the stars — and was doing arithmetic well beyond her years before she started school.

Greenbrier County provided no public schooling for Black children beyond the eighth grade. Her father Joshua, a farmer and hotel janitor, moved the family 120 miles to Institute for the school year so his four children could attend high school on the campus of West Virginia State College, then returned to work back home. He did this for years.

Katherine started high school at ten and entered West Virginia State College at fifteen. There she was taught by W. W. Schieffelin Claytor, the third Black American to earn a doctorate in mathematics, who told her she would make a good research mathematician, added courses to the curriculum specifically for her — including analytic geometry of space — and told her that when the time came she would be ready.

She graduated summa cum laude in 1937 at eighteen with degrees in mathematics and French.

There were no research jobs for a Black woman mathematician. She taught. In 1939, after the Supreme Court's *Gaines* decision forced states to admit Black students to graduate programmes, she was one of three chosen to integrate West Virginia University's graduate school — the only woman. She left after a year to start a family.

Why this matters

Johnson's father moving the family 120 miles each school year is a concrete measure of what segregated education cost Black families in effort and money.

You have met the child who counted everything. What would you ask her?

Ask Katherine

• “Why did your family have to move for you to attend high school?”
• “What did Professor Claytor do for you?”
• “What was it like integrating a graduate school in 1939?”
• “Why did you become a teacher instead of a mathematician?”
• “What did counting everything as a child turn into?”

Chapter 2 · The West Area Computers

Human computers, and separate everything

1953 – 1958 · Langley, Virginia

In 1952 Johnson heard that the National Advisory Committee for Aeronautics was hiring Black women mathematicians at its Langley laboratory. She applied and started in 1953.

The job title was computer, and it was a job, not a machine. Women did the numerical calculation that engineers relied on, working by hand with mechanical calculators, slide rules and graph paper. The Black women were assigned to the segregated West Area Computing unit, with separate lavatories and separate tables in the cafeteria marked for coloured computers. Dorothy Vaughan, the unit's supervisor, was the first Black manager at the centre.

Johnson was assigned temporarily to the Flight Research Division and, in her account, was simply never sent back. What distinguished her was that she asked questions. Engineers gave computers numbers to process without explaining what they were for; she wanted to know what problem she was solving and why.

She also asked to attend the editorial meetings where the engineers discussed results. She was told women did not attend. She kept asking whether there was a rule against it, and eventually went.

Her husband James Goble died of a brain tumour in 1956, leaving her with three young daughters. She married James Johnson, a veteran, in 1959.

In 1960 she co-authored a report with Ted Skopinski on the equations for placing a spacecraft over a chosen point on Earth. He insisted her name go on it — she had done the work. It was the first time a woman in her division was credited as an author.

Why this matters

The West Area Computing unit shows how much American aerospace depended on Black women mathematicians whose work was uncredited and whose facilities were segregated by law.

You have the segregated office and the questions. What would you ask her?

Ask Katherine

• “What did it mean to be a 'computer' as a job?”
• “How did you get into the engineers' meetings?”
• “What was segregated at Langley?”
• “Why did asking questions change your career?”
• “What did being credited on the 1960 report mean?”

Chapter 3 · Get the Girl to Check the Numbers

Freedom 7, Friendship 7, and a request from an astronaut

1959 – 1962 · Langley · Cape Canaveral

The problem of spaceflight is a problem of trajectories. To bring a capsule down at a chosen point in the ocean, you must work backwards from the splashdown to the launch, accounting for the rotation of the Earth, atmospheric drag, and the precise moment the retro-rockets fire.

Johnson calculated the trajectory for Alan Shepard's *Freedom 7* in May 1961, the first American human spaceflight — a suborbital arc.

Orbital flight was harder. For John Glenn's *Friendship 7* mission in February 1962, NASA had for the first time run the calculations on an IBM 7090 electronic computer. The engineers trusted it; Glenn did not entirely. He asked them to have the numbers checked by hand, and — in the version Johnson herself told, and which NASA's own history repeats — asked specifically for the girl to run them, saying that if she said they were good, he was ready to go.

She worked through the same equations by desk calculator over about a day and a half. The numbers agreed. Glenn flew, orbited the Earth three times, and came home.

The episode matters for two reasons. It is a striking demonstration of trust in a person's competence in an institution that had segregated her lavatories a few years earlier. And it is an honest picture of the transition to electronic computing: the machines were new, they were not yet fully trusted, and human calculation was the check.

“If she says they're good, then I'm ready to go.”

— John Glenn, as recounted by Katherine Johnson and recorded in NASA's own history of the mission

Why this matters

The Glenn episode captures the moment when electronic computers took over from human ones — and the fact that the check on the machine was a person the institution had formally discriminated against.

You have the flights. What would you ask her?

Ask Katherine

• “How do you calculate where a capsule will splash down?”
• “Why did John Glenn want the numbers checked by hand?”
• “How long did checking the IBM's figures take?”
• “What was the hardest part of the orbital problem?”
• “What did you think when the mission succeeded?”

Chapter 4 · Apollo

Rendezvous, and a lifeboat calculation for Apollo 13

1963 – 1986 · Langley

The Moon missions required something harder still: getting a command module and a lunar module to meet in orbit around another body. Johnson worked on the rendezvous calculations — the timings and burns that let a small ascent stage rising from the Moon's surface catch a spacecraft moving overhead at thousands of miles an hour, with no second chance.

She also worked on Apollo 11's trajectory and on the backup procedures and charts that let crews navigate by star sightings if their computers failed.

That contingency planning was tested. When an oxygen tank exploded on Apollo 13 in April 1970, the crew had to use the lunar module as a lifeboat and make course corrections without the main guidance system. The one-star observation procedures Johnson had helped develop were part of what brought them home.

Her later work included the Earth Resources Satellite, the space shuttle programme, and early studies for a mission to Mars.

She co-authored or authored twenty-six technical papers over her career and retired in 1986 after thirty-three years.

Asked repeatedly in later life which achievement she was proudest of, she generally named the rendezvous work rather than the more famous flights, because it was the hardest problem.

Why this matters

Apollo 13's survival depended partly on contingency navigation procedures prepared years earlier for a failure everyone hoped would never happen — a case for the value of unglamorous preparation.

You have the Moon programme. What would you ask her?

Ask Katherine

• “Why was orbital rendezvous the hardest problem?”
• “How did your backup procedures help Apollo 13?”
• “How do you navigate by stars without a computer?”
• “What did you think watching the Moon landing?”
• “Which of your calculations are you proudest of?”

Chapter 5 · Recognised at Ninety-Seven

Hidden Figures, and a life of 101 years

1986 – 2020 · Hampton, Virginia

For decades almost nobody outside NASA knew Johnson's name. Technical reports do not make celebrities, and the story of the American space programme was told through astronauts and flight directors.

That changed late. President Obama awarded her the Presidential Medal of Freedom in 2015, when she was ninety-seven. Margot Lee Shetterly's book *Hidden Figures*, published in 2016, and the film that followed brought her, Dorothy Vaughan and Mary Jackson to a worldwide audience. NASA named a computational research facility at Langley after her in 2017 and a facility in West Virginia in 2019.

Johnson was consistently modest about it. She described herself as having done a job she liked, said she was just doing her work, and redirected attention to the whole group of women she had worked with — pointing out that many of them had done the same calculations and never been named.

She also spoke to students constantly, and her advice was practical: study hard, ask questions, and do not be afraid to be the only one in the room.

She died on 24 February 2020, aged 101.

The reason her story matters educationally is not only inspiration. It is a correction to how technological history is written: the American space programme was built by thousands of people doing technical work, a great many of them women, and the record had to be rewritten to include them.

Why this matters

Johnson's late recognition shows how much of the historical record of technology has been assembled from the top down — and how much recovery work is still needed.

You have a full century of life. What would you ask her at the end?

Ask Katherine

• “Why did it take until you were ninety-seven to be recognised?”
• “Who else in your unit should be remembered?”
• “What do you say to a student who is the only one like them in the room?”
• “Did the film get your story right?”
• “What changed at NASA over your thirty-three years?”

What Katherine changed

Johnson's calculations underpinned the first American crewed spaceflight, the first American orbital flight, the Apollo Moon landings and the emergency return of Apollo 13. Her 1960 paper was the first by a woman in her division, and her later recognition helped rewrite the history of the space programme to include the women who computed it.

A debate that continues

Historians of technology continue to recover the contributions of human computers at NASA and elsewhere, and to examine how institutional records systematically omitted the Black women whose calculations the programme depended on.

Keep exploring — ask Katherine

• “How did you check work when a mistake would kill someone?”
• “What did you enjoy most about the mathematics itself?”
• “What would you want the next generation of engineers to ask?”

Related lives

• Grace Hopper — Amazing Grace · Mother of COBOL
• Ada Lovelace — Enchantress of Number · First Programmer
• Rosa Parks — Mother of the Civil Rights Movement

Related themes

The space race · Orbits and trajectories · Segregation and civil rights