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Summary of Significant Accounting Policies (Details 2) (USD $)
In Millions, except Share data, unless otherwise specified
 12 Months Ended
Dec. 31, 2014
Counterparty
Derivative Financial Instruments  
Fair value of commodity derivative contracts $ 1,600us-gaap_PriceRiskDerivativeAssetsAtFairValue
Number of counterparties 10ar_NumberOfCounterparties
Earnings per share  
Dilutive shares attributable to non-vested restricted stock and restricted stock unit awards and stock options. 14,238us-gaap_IncrementalCommonSharesAttributableToShareBasedPaymentArrangements
Credit Suisse  
Derivative Financial Instruments  
Fair value of commodity derivative contracts 268us-gaap_PriceRiskDerivativeAssetsAtFairValue
/ us-gaap_CounterpartyNameAxis
= ar_CreditSuisseMember
Barclays  
Derivative Financial Instruments  
Fair value of commodity derivative contracts 257us-gaap_PriceRiskDerivativeAssetsAtFairValue
/ us-gaap_CounterpartyNameAxis
= ar_BarclaysMember
JP Morgan  
Derivative Financial Instruments  
Fair value of commodity derivative contracts 253us-gaap_PriceRiskDerivativeAssetsAtFairValue
/ us-gaap_CounterpartyNameAxis
= ar_JPMorganMember
BNP Paribas  
Derivative Financial Instruments  
Fair value of commodity derivative contracts 233us-gaap_PriceRiskDerivativeAssetsAtFairValue
/ us-gaap_CounterpartyNameAxis
= ar_BNPParibasMember
Citigroup  
Derivative Financial Instruments  
Fair value of commodity derivative contracts 231us-gaap_PriceRiskDerivativeAssetsAtFairValue
/ us-gaap_CounterpartyNameAxis
= ar_CitigroupMember
Wells Fargo  
Derivative Financial Instruments  
Fair value of commodity derivative contracts 211us-gaap_PriceRiskDerivativeAssetsAtFairValue
/ us-gaap_CounterpartyNameAxis
= ar_WellsFargoMember
Scotiabank  
Derivative Financial Instruments  
Fair value of commodity derivative contracts 77us-gaap_PriceRiskDerivativeAssetsAtFairValue
/ us-gaap_CounterpartyNameAxis
= ar_ScotiabankMember
Fifth Third Bank  
Derivative Financial Instruments  
Fair value of commodity derivative contracts 31us-gaap_PriceRiskDerivativeAssetsAtFairValue
/ us-gaap_CounterpartyNameAxis
= ar_FifthThirdBankMember
Toronto Dominion Bank  
Derivative Financial Instruments  
Fair value of commodity derivative contracts 28us-gaap_PriceRiskDerivativeAssetsAtFairValue
/ us-gaap_CounterpartyNameAxis
= ar_TorontoDominionBankMember
Bank of Montreal  
Derivative Financial Instruments  
Fair value of commodity derivative contracts $ 4us-gaap_PriceRiskDerivativeAssetsAtFairValue
/ us-gaap_CounterpartyNameAxis
= ar_BankOfMontrealMember