CHESAPEAKE ENERGY CORPORATION

Exhibit 4.17.1

CHESAPEAKE ENERGY CORPORATION

and

the Subsidiary Guarantors named herein

2.25% CONTINGENT CONVERTIBLE SENIOR NOTES DUE 2038

FIRST SUPPLEMENTAL INDENTURE

DATED AS OF OCTOBER 14, 2008

THE BANK OF NEW YORK MELLON TRUST COMPANY, N.A.

as Trustee

THIS FIRST SUPPLEMENTAL INDENTURE, dated as of October 14, 2008, is among Chesapeake Energy Corporation, an Oklahoma corporation (the “Company”), each of the parties identified under the caption “Subsidiary Guarantors” on the signature page hereto (the “Subsidiary Guarantors”) and The Bank of New York Mellon Trust Company, N.A., as Trustee.

RECITALS

WHEREAS, the Company, the Subsidiary Guarantors a party thereto and the Trustee entered into an Indenture, dated as of May 27, 2008, (the “Indenture”), pursuant to which the Company has originally issued $1,380,000,000 in principal amount of 2.25% Contingent Convertible Senior Notes due 2038 (the “Notes”);

WHEREAS, Section 10.01 of the Indenture provides that the Company, the Subsidiary Guarantors and the Trustee may amend or supplement the Indenture without notice to or consent of any Holder to reflect the release of any Subsidiary Guarantor, as provided for in the Indenture;

WHEREAS, Arkansas Midstream Gas Services Corp., an Arkansas corporation (“AMGS”), Bluestem Gas Services, L.L.C., an Oklahoma limited liability company (“Bluestem”), and Texas Midstream Gas Services, L.L.C., an Oklahoma limited liability company (“TMGS”), are Subsidiary Guarantors under the Indenture;

WHEREAS, the Company has taken all actions required to effect the release, pursuant to Section 11.04 of the Indenture, of AMGS, Bluestem and TMGS from their guarantees and related obligations under the Indenture;

WHEREAS, AMGS, L.L.C., an Arkansas limited liability company (“AMGS LLC”), Chesapeake Midstream Gas Services, L.L.C., an Oklahoma limited liability company (“CMGS”), Chesapeake Midstream Partners, L.P., a Delaware limited partnership (“Midstream Partners”), Chesapeake Midstream Management, L.L.C., a Delaware limited liability company (“Midstream Management”), Chesapeake Midstream Operating, L.L.C., an Oklahoma limited liability company (“Midstream Operating”), Louisiana Midstream Gas Services, L.L.C., an Oklahoma limited liability company (“LMGS”), and Oklahoma Midstream Gas Services, L.L.C, an Oklahoma limited liability company (“OMGS”) (collectively, the “New Subsidiaries”), are newly formed entities and have not become Subsidiary Guarantors under the Indenture;

WHEREAS, no New Subsidiary guarantees any Indebtedness of the Company or any Subsidiary Guarantor other than a De Minimis Guaranteed Amount and, therefore, such New Subsidiaries are not required to become Subsidiary Guarantors under the Indenture; and

WHEREAS, all acts and things prescribed by the Indenture, by law and by the charter and the bylaws (or comparable constituent documents) of the Company, of the Subsidiary Guarantors and of the Trustee necessary to make this First Supplemental Indenture a valid instrument legally binding on the Company, the Subsidiary Guarantors and the Trustee, in accordance with its terms, have been duly done and performed;

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NOW, THEREFORE, to comply with the provisions of the Indenture and in consideration of the above premises, the Company, the Subsidiary Guarantors and the Trustee covenant and agree for the equal and proportionate benefit of the respective Holders of the Notes as follows:

ARTICLE 1

Section 1.01. This First Supplemental Indenture is supplemental to the Indenture and does and shall be deemed to form a part of, and shall be construed in connection with and as part of, the Indenture for any and all purposes.

Section 1.02. This First Supplemental Indenture shall become effective immediately upon its execution and delivery by each of the Company, the Subsidiary Guarantors and the Trustee.

ARTICLE 2

Section 2.01. AMGS, Bluestem and TMGS are hereby released from their guarantees and related obligations under the Indenture and will hereafter cease to be Subsidiary Guarantors under, or parties to, the Indenture. The notation on the Securities relating to the Guarantee shall be deemed to exclude the names of AMGS, Bluestem and TMGS and the signatures of Officers of AMGS, Bluestem, and TMGS on their behalf.

ARTICLE 3

Section 3.01. Except as specifically modified herein, the Indenture and the Notes are in all respects ratified and confirmed (mutatis mutandis) and shall remain in full force and effect in accordance with their terms with all capitalized terms used herein without definition having the same respective meanings ascribed to them as in the Indenture.

Section 3.02. Except as otherwise expressly provided herein, no duties, responsibilities or liabilities are assumed, or shall be construed to be assumed, by the Trustee by reason of this First Supplemental Indenture. This First Supplemental Indenture is executed and accepted by the Trustee subject to all the terms and conditions set forth in the Indenture with the same force and effect as if those terms and conditions were repeated at length herein and made applicable to the Trustee with respect hereto. The Trustee makes no representations as to the validity or sufficiency of this First Supplemental Indenture. The recitals and statements herein are deemed to be those of the Company and Subsidiary Guarantors and not of the Trustee.

Section 3.03. THE LAW OF THE STATE OF NEW YORK SHALL GOVERN AND BE USED TO CONSTRUE AND ENFORCE THIS FIRST SUPPLEMENTAL INDENTURE.

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Section 3.04. The parties may sign any number of copies of this First Supplemental Indenture. Each signed copy shall be an original, but all of such executed copies together shall represent the same agreement.

[NEXT PAGE IS SIGNATURE PAGE]

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IN WITNESS WHEREOF, the parties hereto have caused this First Supplemental Indenture to be duly executed, all as of the date first written above.

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