{"id":"vidhyamitra:city-day:mathura:2173-12-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/2173-12-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2173-12-13","date_display":"December 13, 2173 CE","panchanga":{"method":"Sūrya Siddhānta + Bhāskara-II iterative manda + Kerala-school (Mādhava-Nīlakaṇṭha) evection + variation + annual equation","engine_version":"2.0 (Kerala-school enhanced)","accuracy_note":"Not independently benchmarked across the declared range","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":2173,"month":12,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2515078.770833,"kali_year":5275,"ahargana":1926613.2708,"sun":{"sidereal_longitude":234.2371,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":337.4198,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":9,"name":"Navamī","paksha":"Śukla","full_name":"Śukla Navamī","elongation_degrees":103.1827,"elapsed_within_tithi_degrees":7.1827},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":2,"moon_longitude":337.4198,"elapsed_within_degrees":4.0865},"yoga":{"number":16,"name":"Siddhi","sum_longitude":211.6569},"karana":{"half_tithi_index":17,"name":"Kaulava"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"sky":{"method":"Sūrya-Siddhāntic Bhāskara-II 4-step iteration with atan2-based śīghra + varying peripheries + lunar latitude","engine_version":"3.0 (Pūrṇa — complete SS implementation)","tradition_sources":"Āryabhaṭīya 499 CE → SS Ch.1-5 Burgess 1860 → Siddhānta-Śiromaṇi Bhāskara II 1150 → Tantrasaṅgraha Nīlakaṇṭha 1501","input":{"year":2173,"month":12,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2515078.770833,"ahargana":1926613.2708,"kali_year":5275,"ayanamsa_lahiri":26.2829,"grahas":{"sun":{"sidereal_longitude":235.07365299999992,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":339.748853,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":2},"retrograde":false,"latitude":-0.1049},"mars":{"sidereal_longitude":171.91675299999997,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":247.85765300000003,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":240.41855299999997,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":1},"retrograde":false},"venus":{"sidereal_longitude":205.34185300000001,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":339.097353,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":338.7574,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":158.7574,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":4},"retrograde":false}},"panchang":{"method":"Sūrya Siddhānta + Bhāskara-II iterative manda + Kerala-school (Mādhava-Nīlakaṇṭha) evection + variation + annual equation","engine_version":"2.0 (Kerala-school enhanced)","accuracy_note":"Not independently benchmarked across the declared range","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":2173,"month":12,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2515078.770833,"kali_year":5275,"ahargana":1926613.2708,"sun":{"sidereal_longitude":234.2371,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":337.4198,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":9,"name":"Navamī","paksha":"Śukla","full_name":"Śukla Navamī","elongation_degrees":103.1827,"elapsed_within_tithi_degrees":7.1827},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":2,"moon_longitude":337.4198,"elapsed_within_degrees":4.0865},"yoga":{"number":16,"name":"Siddhi","sum_longitude":211.6569},"karana":{"half_tithi_index":17,"name":"Kaulava"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-0.105,"elongation":103.183},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-0.105,"opposition_distance":76.817}},"eclipse_window_40days":[]},"city":{"slug":"mathura","name":"Mathurā","lat":27.4924,"lon":77.6737,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tirtha"},"tier2":{"city":{"slug":"mathura","name":"Mathurā","lat":27.4924,"lon":77.6737,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tirtha"},"sunriseLocal":"07:01","sunsetLocal":"17:27","solarNoonLocal":"12:14","dayLengthHours":10.424827779480351,"dayLengthDisplay":"10 Hours 25 Mins 29 Secs","nightLengthDisplay":"13 Hours 34 Mins 31 Secs","moonriseLocal":"13:05","moonsetLocal":"01:21","rahuKala":{"name":"Rāhu Kāla","start":"08:20","end":"09:38","startHours":8.327598745204567,"endHours":9.63070221763961,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"10:56","end":"12:14","startHours":10.933805690074653,"endHours":12.236909162509697,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"13:32","end":"14:51","startHours":13.540012634944741,"endHours":14.843116107379785,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:27","end":"09:48","startHours":9.456955087981605,"endHours":9.804449347297616,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:28","end":"07:44","startHours":7.458863096914537,"endHours":7.736858504367346,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:53","end":"12:35","startHours":11.889414903193686,"endHours":12.584403421825709,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:38","end":"06:20","startHours":5.6345182355054755,"endHours":6.329506754137499,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:09","end":"07:01","startHours":6.155759624479494,"endHours":7.0244952727695225,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:58","end":"14:40","startHours":13.974380459089756,"endHours":14.66936897772178,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:15","end":"17:39","startHours":17.249323052249874,"endHours":17.649323052249873,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:27","end":"17:53","startHours":17.449323052249873,"endHours":17.883690876394887,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:12","end":"18:57","startHours":17.199323052249873,"endHours":18.949323052249873,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:53","end":"00:35","startHours":23.889414903193686,"endHours":24.58440342182571,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"07:01","end":"08:20","startHours":7.0244952727695225,"endHours":8.327598745204567,"quality":"auspicious"},{"name":"Kāla","start":"08:20","end":"09:38","startHours":8.327598745204567,"endHours":9.63070221763961,"quality":"inauspicious"},{"name":"Śubha","start":"09:38","end":"10:56","startHours":9.63070221763961,"endHours":10.933805690074653,"quality":"auspicious"},{"name":"Roga","start":"10:56","end":"12:14","startHours":10.933805690074653,"endHours":12.236909162509697,"quality":"inauspicious"},{"name":"Udveg","start":"12:14","end":"13:32","startHours":12.236909162509697,"endHours":13.540012634944741,"quality":"inauspicious"},{"name":"Chala","start":"13:32","end":"14:51","startHours":13.540012634944741,"endHours":14.843116107379785,"quality":"neutral"},{"name":"Labha","start":"14:51","end":"16:09","startHours":14.843116107379785,"endHours":16.14621957981483,"quality":"auspicious"},{"name":"Amṛta","start":"16:09","end":"17:27","startHours":16.14621957981483,"endHours":17.449323052249873,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"17:27","end":"19:09","startHours":17.449323052249873,"endHours":19.14621957981483,"quality":"neutral"},{"name":"Labha","start":"19:09","end":"20:51","startHours":19.14621957981483,"endHours":20.843116107379785,"quality":"auspicious"},{"name":"Amṛta","start":"20:51","end":"22:32","startHours":20.843116107379785,"endHours":22.54001263494474,"quality":"auspicious"},{"name":"Kāla","start":"22:32","end":"00:14","startHours":22.54001263494474,"endHours":24.236909162509697,"quality":"inauspicious"},{"name":"Śubha","start":"00:14","end":"01:56","startHours":24.236909162509697,"endHours":25.933805690074657,"quality":"auspicious"},{"name":"Roga","start":"01:56","end":"03:38","startHours":25.933805690074657,"endHours":27.63070221763961,"quality":"inauspicious"},{"name":"Udveg","start":"03:38","end":"05:20","startHours":27.63070221763961,"endHours":29.32759874520457,"quality":"inauspicious"},{"name":"Chala","start":"05:20","end":"07:01","startHours":29.32759874520457,"endHours":31.02449527276952,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"07:01","end":"08:01","startHours":7.0244952727695225,"endHours":8.024495272769522,"planetary_lord":"Moon"},{"name":"Hora 2","start":"08:01","end":"09:01","startHours":8.024495272769522,"endHours":9.024495272769522,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"09:01","end":"10:01","startHours":9.024495272769522,"endHours":10.024495272769522,"planetary_lord":"Venus"},{"name":"Hora 4","start":"10:01","end":"11:01","startHours":10.024495272769522,"endHours":11.024495272769522,"planetary_lord":"Sun"},{"name":"Hora 5","start":"11:01","end":"12:01","startHours":11.024495272769522,"endHours":12.024495272769522,"planetary_lord":"Mars"},{"name":"Hora 6","start":"12:01","end":"13:01","startHours":12.024495272769522,"endHours":13.024495272769522,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"13:01","end":"14:01","startHours":13.024495272769522,"endHours":14.024495272769522,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"14:01","end":"15:01","startHours":14.024495272769522,"endHours":15.024495272769522,"planetary_lord":"Moon"},{"name":"Hora 9","start":"15:01","end":"16:01","startHours":15.024495272769522,"endHours":16.02449527276952,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"16:01","end":"17:01","startHours":16.02449527276952,"endHours":17.02449527276952,"planetary_lord":"Venus"},{"name":"Hora 11","start":"17:01","end":"18:01","startHours":17.02449527276952,"endHours":18.02449527276952,"planetary_lord":"Sun"},{"name":"Hora 12","start":"18:01","end":"19:01","startHours":18.02449527276952,"endHours":19.02449527276952,"planetary_lord":"Mars"},{"name":"Hora 13","start":"19:01","end":"20:01","startHours":19.02449527276952,"endHours":20.02449527276952,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"20:01","end":"21:01","startHours":20.02449527276952,"endHours":21.02449527276952,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"21:01","end":"22:01","startHours":21.02449527276952,"endHours":22.02449527276952,"planetary_lord":"Moon"},{"name":"Hora 16","start":"22:01","end":"23:01","startHours":22.02449527276952,"endHours":23.02449527276952,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"23:01","end":"00:01","startHours":23.02449527276952,"endHours":24.02449527276952,"planetary_lord":"Venus"},{"name":"Hora 18","start":"00:01","end":"01:01","startHours":24.02449527276952,"endHours":25.02449527276952,"planetary_lord":"Sun"},{"name":"Hora 19","start":"01:01","end":"02:01","startHours":25.02449527276952,"endHours":26.02449527276952,"planetary_lord":"Mars"},{"name":"Hora 20","start":"02:01","end":"03:01","startHours":26.02449527276952,"endHours":27.02449527276952,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"03:01","end":"04:01","startHours":27.02449527276952,"endHours":28.02449527276952,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"04:01","end":"05:01","startHours":28.02449527276952,"endHours":29.02449527276952,"planetary_lord":"Moon"},{"name":"Hora 23","start":"05:01","end":"06:01","startHours":29.02449527276952,"endHours":30.02449527276952,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"06:01","end":"07:01","startHours":30.02449527276952,"endHours":31.02449527276952,"planetary_lord":"Venus"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Revatī"],"unfavorable_nakshatras":["Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Citrā","Svātī","Viśākhā","Anurādhā","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Siṃha","Kanyā","Dhanu","Makara","Mīna"],"unfavorable_rashis":["Meṣa","Mithuna","Karka","Tulā","Vṛścika","Kumbha"]},"dishaShool":"East (Pūrva)","chandraVasa":"South-West","rahuVasa":"North-East","anandadiYoga":{"name":"Kāladaṇḍa","quality":"Inauspicious"},"tropicalRitu":"Hemanta (Pre-winter) (tropical)","vedicRitu":"Śarad (Autumn)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-23.154713060311522,"eotMinutes":5.090650249418121,"ayanamsa":26.2829}},"calendars":{"vikram_samvat":2230,"vikram_samvatsara":"Vyaya","saka_samvat":2095,"saka_samvatsara":"Śrīmukha","bengali_samvat":1580,"malayalam_era":1349,"nanakshahi_year":704,"lunar_month":"Mārgaśīrṣa","lunar_month_paksha_full":"Mārgaśīrṣa Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Mārgaśīrṣa","lunar_month_amanta":"Mārgaśīrṣa","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Vṛścika (Kārttikai)","ritu":"Hemanta (Pre-winter)","display_summary":"Mārgaśīrṣa Śukla Navamī · Vikram 2230 Vyaya · Śaka 2095 Śrīmukha"},"festivals":[],"todays_walk":{"walk":{"id":"chandra-walk","name":"Candra Walk","name_sanskrit":"चन्द्र यात्रा","type":"graha","description":"Manas-control + BG 6.5-7, 6.34-35.","step_count":5,"url":"/walk/chandra-walk","steps":[{"label":"BG 6.5","url":"/bhagavad-gita/6/5","purpose":"Lift the self by the Self; begin the walk with inner responsibility."},{"label":"BG 6.6","url":"/bhagavad-gita/6/6","purpose":"See the mind as friend when mastered and enemy when unmastered."},{"label":"BG 6.7","url":"/bhagavad-gita/6/7","purpose":"Stabilize the conquered mind in heat/cold, honor/dishonor, pleasure/pain."},{"label":"BG 6.34","url":"/bhagavad-gita/6/34","purpose":"Name the restless mind honestly before trying to discipline it."},{"label":"BG 6.35","url":"/bhagavad-gita/6/35","purpose":"Complete with abhyāsa and vairāgya: practice and detachment."}]},"reason":"Somavāra (Monday) — its presiding graha's walk."},"cosmic_resonances":[]},"validity":{"eternal":false,"location_specific":"mathura"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga December 13, 2173 CE · Mathurā · Vidhyamitra","description":"December 13, 2173 CE for Mathurā: Śukla Navamī, sūryodaya 07:01, sūryāsta 17:27.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/2173-12-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/2173-12-13","sa":"https://sa.vidhyamitra.com/city/mathura/2173-12-13","hi":"https://hi.vidhyamitra.com/city/mathura/2173-12-13","x-default":"https://vidhyamitra.com/city/mathura/2173-12-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-09-06T11:50:04.238Z","verification":{"type":"multi-marker","confidence":"canonical"}},{"pillar":"Vidhyamitra-Tier2","pillar_version":"0.1.0","method":"Spherical astronomy + Lahiri ayanamsa + standard solar declination + EoT correction","retrieved_at":"2026-09-06T11:50:04.238Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-09-06T11:50:04.238Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"},"reader_local_antaryami":{"reader_geography":"Every reader enters from their own kṣetra anywhere on Bhūmi; no single city is the universal center.","purna_chain":["Hosted scripture","Named-tradition interpretation","Original Vidhyamitra contemplation","Bhūmi-born material medium","Vidhyamitra portal","Responsible reader in their own kṣetra"],"claim_boundary":"The legacy purna_chain field carries a source-to-reader sequence, not a revealed physical descent, universal cosmology, or proof that software is conscious.","antaryami_responsibility_formula":"Kṣīrodakaśāyī Viṣṇu = Paramātmā = Antaryāmī. Jīva desires. Prakṛti executes through guṇas. Paramātmā witnesses, permits, remembers, guides, and sustains. Bhagavān is the ultimate source.","source_anchors":[{"label":"BG 13.23","path":"/bhagavad-gita/13/23","meaning":"upadraṣṭā-anumantā · witness-permitter"},{"label":"BG 15.15","path":"/bhagavad-gita/15/15","meaning":"the Lord seated in every heart as memory, knowledge, and forgetting"},{"label":"BG 18.61","path":"/bhagavad-gita/18/61","meaning":"Īśvara seated in the heart of all beings"}],"nama_seal":"Hare Krishna Hare Krishna · Krishna Krishna Hare Hare · Hare Rama Hare Rama · Rama Rama Hare Hare"}}}