Question: What airline did one of the "Big Four" domestic airlines in the United States collide with over Carmel, New York?

Context articles: Charles Stuart Platkin
Capital Airlines
Trans World Airlines
History of Kingfisher Airlines
Mohawk Airlines
1965 Carmel mid-air collision
Provincetown-Boston Airlines
Oneworld
Carmel (company)
Church of Our Lady of Mt. Carmel (Manhattan)

Is a nutrition and public health advocate, a professor at Hunter College in NYC, and City University of New York School of Public Health, author of Breaking the Pattern and The Automatic Diet), blogger for Active.com and Everydayhealth.com.
 Platkin also publishes an annual Airline Snacking and Onboard Food Service Survey with health ratings for 12 domestic airlines, and Super Bowl exercise equivalents where football related activities are compared to foods typically eaten while watching the game (e.g., Six Chili's Fajita Beef Classic Nachos (Large)=Running 242.5 football fields.)
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Capital Airlines was an airline serving the eastern, southern, southeastern, and midwestern United States.
 Capital's headquarters were located at Washington National Airport (now Reagan Airport) across the Potomac river from Washington, D.C. where crew training and aircraft overhauls were also accomplished.
 In the 1950s Capital was the fifth largest United States domestic carrier by passenger count (and sometimes by passenger-miles) after the Big Four air carriers (American, United, TWA, and Eastern).
 Capital merged with United Airlines in 1961.
Trans World Airlines (TWA) was a major American airline from 1924 until 2001.
 It was formed as Transcontinental & Western Air to operate a route from New York City to Los Angeles via St. Louis, Kansas City, and other stops, with Ford Trimotors. With American, United, and Eastern, it was one of the "Big Four" domestic airlines in the United States formed by the Spoils Conference of 1930.
Kingfisher Airlines was established in 2003.
 It is owned by the Bengaluru based United Breweries Group.
 The airline started commercial operations on 9 May 2005 with a fleet of four new Airbus A320-200s operating a flight from Mumbai to Delhi.
 It started its international operations on 3 September 2008 by connecting Bengaluru with London.
 Kingfisher's head office is located in Kingfisher House Western Express Highway Vile Parle (E) Mumbai – 400099 India and its registered office is located in UB City, Bangalore.
 Its head office was previously in the Kingfisher House in Vile Parle (East), Mumbai.
 In 2012 Vijay Mallya was trying to sell the Vile Parle Kingfisher House.
 The airline had shut down its operations when on 20 October 2012 the DGCA suspended its flying license.
 This suspension had been due to failure to give an effective response to the show-cause notice issued by DGCA.
 However, The airline had locked out its employees for several days before this suspension.
 On 25 October 2012, the employees agreed to return to work.
 On 7 June 2010 Kingfisher became a member elect of the Oneworld airline alliance when it signed a formal membership agreement.
 Kingfisher confirmed on 20 December 2011 that it will join the Oneworld airline alliance on 10 February 2012.
 Kingfisher would have been the first Indian carrier to join one of the big airline alliances.
 However, on 3 February 2012, owing to bad financial situation and two days after the International Air Transport Association (IATA) clearing house suspended Kingfisher Airlines; the airlines participation to Oneworld has been put on hold.
Mohawk Airlines was a regional passenger airline operating in the Mid-Atlantic region of the United States, mainly in New York and Pennsylvania, from the mid-1940s until its acquisition by Allegheny Airlines in 1972.
 At its height, it employed over 2,200 personnel and pioneered several aspects of regional airline operations, including being the first airline in the United States to hire an African American flight attendant in 1958.
 The airline was based at Ithaca Municipal Airport near Ithaca, New York until 1958, when it moved to Oneida County Airport in Whitestown, New York.
The 1965 Carmel mid-air collision occurred on December 4, 1965, when Eastern Air Lines Flight 853 (N6218C), a Lockheed Super Constellation en route from Boston Logan International Airport to Newark International Airport, collided in mid-air with Trans World Airlines Flight 42 (N748TW), a Boeing 707-131B en route from San Francisco International Airport to John F. Kennedy International Airport, over Carmel, New York, United States.
Provincetown-Boston Airlines (IATA: PT, ICAO: PBA, Call sign: PBA) was an airline that operated between 1949 and 1989.
 The airline operated a route network in New England, New York, Pennsylvania, and Florida, and at one time was the largest commuter airline in the United States before its purchase by People Express Airlines and then eventual consolidation with other commuter airlines into Continental Express, now United Express after its merger.
Oneworld (marketed as oneworld; CRS: *O) is an airline alliance founded on 1 February 1999.
 The alliance's stated objective is to be the first-choice airline alliance for the world's frequent international travelers.
 Its central alliance office is currently based in New York City in the United States.
 Its member airlines include Air Berlin, American Airlines, British Airways, Cathay Pacific, Finnair, Iberia, Japan Airlines, LATAM Airlines, Malaysia Airlines, Qantas, Qatar Airways, Royal Jordanian, S7 Airlines and SriLankan Airlines, plus some 21 affiliated airlines.
 As of August 2016, Oneworld is the third largest global alliance in terms of passengers with more than 557.4 million passengers carried, behind Star Alliance (689.98 M) and SkyTeam (665.4 M).
 Its slogan is "An alliance of the world's leading airlines working as one."
Carmel is a car and limousine Car Service, mainly focused on airport trips.
 Carmel Car Service is one of the largest car service companies and limousine services in the world, and provides international car service.
 The company dispatches 1200 drivers in New York City alone and serves more than 300 cities around the world, including 150 in the United States.
The Church of Our Lady of Mount Carmel is a Roman Catholic parish church under the authority of the Archdiocese of New York, located at East Harlem, Manhattan, New York City, United States.
 The parish enshrines a vested statue of the Blessed Virgin Mary under the title of Our Lady of Mount Carmel widely venerated by its devotees.
 Pope Leo XIII issued a Papal bull granting the image a Canonical Coronation on 12 May 1903.
 Pope Pius X carried over the Pontifical decree and donated a gemstone for the crown to which the ceremony occurred on 10 July 1904.
 It is one of the four canonically crowned images authorised by the Congregation for Divine Worship and the Discipline of the Sacraments in the United States of America.