{"id":"vidhyamitra:city-day:mathura:1906-12-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/1906-12-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1906-12-13","date_display":"December 13, 1906 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":1906,"month":12,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2417557.770833,"kali_year":5008,"ahargana":1829092.2708,"sun":{"sidereal_longitude":237.4027,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":200.5801,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":27,"name":"Dvādaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Dvādaśī","elongation_degrees":323.1774,"elapsed_within_tithi_degrees":11.1774},"nakshatra":{"number":16,"name":"Viśākhā","pada":1,"moon_longitude":200.5801,"elapsed_within_degrees":0.5801},"yoga":{"number":6,"name":"Atigaṇḍa","sum_longitude":77.9828},"karana":{"half_tithi_index":53,"name":"Taitila"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"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":1906,"month":12,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2417557.770833,"ahargana":1829092.2708,"kali_year":5008,"ayanamsa_lahiri":22.5531,"grahas":{"sun":{"sidereal_longitude":237.580472,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":198.65437199999997,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":4},"retrograde":false,"latitude":4.4849},"mars":{"sidereal_longitude":185.97747200000003,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":218.65597200000002,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":76.71227199999998,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":4},"retrograde":true},"venus":{"sidereal_longitude":219.35267199999998,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":317.823572,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":105.8893,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":285.8893,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":2},"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":1906,"month":12,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2417557.770833,"kali_year":5008,"ahargana":1829092.2708,"sun":{"sidereal_longitude":237.4027,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":200.5801,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":27,"name":"Dvādaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Dvādaśī","elongation_degrees":323.1774,"elapsed_within_tithi_degrees":11.1774},"nakshatra":{"number":16,"name":"Viśākhā","pada":1,"moon_longitude":200.5801,"elapsed_within_degrees":0.5801},"yoga":{"number":6,"name":"Atigaṇḍa","sum_longitude":77.9828},"karana":{"half_tithi_index":53,"name":"Taitila"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.485,"elongation":36.823},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.485,"opposition_distance":143.177}},"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":10.431866595560571,"dayLengthDisplay":"10 Hours 25 Mins 55 Secs","nightLengthDisplay":"13 Hours 34 Mins 05 Secs","moonriseLocal":"04:08","moonsetLocal":"15:09","rahuKala":{"name":"Rāhu Kāla","start":"13:32","end":"14:51","startHours":13.54089248695477,"endHours":14.844875811399842,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:01","end":"08:19","startHours":7.0209758647294125,"endHours":8.324959189174484,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"09:38","end":"10:56","startHours":9.628942513619556,"endHours":10.932925838064627,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:27","end":"09:48","startHours":9.455078070360212,"endHours":9.802806956878898,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:27","end":"07:44","startHours":7.45563697287777,"endHours":7.733820082092718,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:53","end":"12:35","startHours":11.889180275991011,"endHours":12.584638049028383,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:38","end":"06:20","startHours":5.630060318654669,"endHours":6.325518091692041,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:09","end":"07:01","startHours":6.151653648432698,"endHours":7.0209758647294125,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:59","end":"14:40","startHours":13.975553595103126,"endHours":14.671011368140498,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:15","end":"17:39","startHours":17.252842460289983,"endHours":17.652842460289982,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:27","end":"17:53","startHours":17.452842460289983,"endHours":17.88750356843834,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:12","end":"18:57","startHours":17.202842460289983,"endHours":18.952842460289983,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:53","end":"00:35","startHours":23.889180275991013,"endHours":24.58463804902838,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"07:01","end":"08:19","startHours":7.0209758647294125,"endHours":8.324959189174484,"quality":"auspicious"},{"name":"Roga","start":"08:19","end":"09:38","startHours":8.324959189174484,"endHours":9.628942513619556,"quality":"inauspicious"},{"name":"Udveg","start":"09:38","end":"10:56","startHours":9.628942513619556,"endHours":10.932925838064627,"quality":"inauspicious"},{"name":"Chala","start":"10:56","end":"12:14","startHours":10.932925838064627,"endHours":12.236909162509697,"quality":"neutral"},{"name":"Labha","start":"12:14","end":"13:32","startHours":12.236909162509697,"endHours":13.54089248695477,"quality":"auspicious"},{"name":"Amṛta","start":"13:32","end":"14:51","startHours":13.54089248695477,"endHours":14.844875811399842,"quality":"auspicious"},{"name":"Kāla","start":"14:51","end":"16:09","startHours":14.844875811399842,"endHours":16.148859135844912,"quality":"inauspicious"},{"name":"Śubha","start":"16:09","end":"17:27","startHours":16.148859135844912,"endHours":17.452842460289983,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"17:27","end":"19:09","startHours":17.452842460289983,"endHours":19.148859135844912,"quality":"auspicious"},{"name":"Kāla","start":"19:09","end":"20:51","startHours":19.148859135844912,"endHours":20.844875811399838,"quality":"inauspicious"},{"name":"Śubha","start":"20:51","end":"22:32","startHours":20.844875811399838,"endHours":22.540892486954768,"quality":"auspicious"},{"name":"Roga","start":"22:32","end":"00:14","startHours":22.540892486954768,"endHours":24.236909162509697,"quality":"inauspicious"},{"name":"Udveg","start":"00:14","end":"01:56","startHours":24.236909162509697,"endHours":25.932925838064627,"quality":"inauspicious"},{"name":"Chala","start":"01:56","end":"03:38","startHours":25.932925838064627,"endHours":27.628942513619556,"quality":"neutral"},{"name":"Labha","start":"03:38","end":"05:19","startHours":27.628942513619556,"endHours":29.324959189174482,"quality":"auspicious"},{"name":"Amṛta","start":"05:19","end":"07:01","startHours":29.324959189174482,"endHours":31.02097586472941,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"07:01","end":"08:01","startHours":7.0209758647294125,"endHours":8.020975864729412,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"08:01","end":"09:01","startHours":8.020975864729412,"endHours":9.020975864729412,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"09:01","end":"10:01","startHours":9.020975864729412,"endHours":10.020975864729412,"planetary_lord":"Moon"},{"name":"Hora 4","start":"10:01","end":"11:01","startHours":10.020975864729412,"endHours":11.020975864729412,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"11:01","end":"12:01","startHours":11.020975864729412,"endHours":12.020975864729412,"planetary_lord":"Venus"},{"name":"Hora 6","start":"12:01","end":"13:01","startHours":12.020975864729412,"endHours":13.020975864729412,"planetary_lord":"Sun"},{"name":"Hora 7","start":"13:01","end":"14:01","startHours":13.020975864729412,"endHours":14.020975864729412,"planetary_lord":"Mars"},{"name":"Hora 8","start":"14:01","end":"15:01","startHours":14.020975864729412,"endHours":15.020975864729412,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"15:01","end":"16:01","startHours":15.020975864729412,"endHours":16.02097586472941,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"16:01","end":"17:01","startHours":16.02097586472941,"endHours":17.02097586472941,"planetary_lord":"Moon"},{"name":"Hora 11","start":"17:01","end":"18:01","startHours":17.02097586472941,"endHours":18.02097586472941,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"18:01","end":"19:01","startHours":18.02097586472941,"endHours":19.02097586472941,"planetary_lord":"Venus"},{"name":"Hora 13","start":"19:01","end":"20:01","startHours":19.02097586472941,"endHours":20.02097586472941,"planetary_lord":"Sun"},{"name":"Hora 14","start":"20:01","end":"21:01","startHours":20.02097586472941,"endHours":21.02097586472941,"planetary_lord":"Mars"},{"name":"Hora 15","start":"21:01","end":"22:01","startHours":21.02097586472941,"endHours":22.02097586472941,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"22:01","end":"23:01","startHours":22.02097586472941,"endHours":23.02097586472941,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"23:01","end":"00:01","startHours":23.02097586472941,"endHours":24.02097586472941,"planetary_lord":"Moon"},{"name":"Hora 18","start":"00:01","end":"01:01","startHours":24.02097586472941,"endHours":25.02097586472941,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"01:01","end":"02:01","startHours":25.02097586472941,"endHours":26.02097586472941,"planetary_lord":"Venus"},{"name":"Hora 20","start":"02:01","end":"03:01","startHours":26.02097586472941,"endHours":27.02097586472941,"planetary_lord":"Sun"},{"name":"Hora 21","start":"03:01","end":"04:01","startHours":27.02097586472941,"endHours":28.02097586472941,"planetary_lord":"Mars"},{"name":"Hora 22","start":"04:01","end":"05:01","startHours":28.02097586472941,"endHours":29.02097586472941,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"05:01","end":"06:01","startHours":29.02097586472941,"endHours":30.02097586472941,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"06:01","end":"07:01","startHours":30.02097586472941,"endHours":31.02097586472941,"planetary_lord":"Moon"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Hasta","Citrā","Svātī","Viśākhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Karka","Siṃha","Tulā","Dhanu","Mīna"],"unfavorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Vṛścika","Makara","Kumbha"]},"dishaShool":"South (Dakṣiṇa)","chandraVasa":"North","rahuVasa":"North-West","anandadiYoga":{"name":"Prajāpati","quality":"Auspicious"},"tropicalRitu":"Hemanta (Pre-winter) (tropical)","vedicRitu":"Śarad (Autumn)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-23.069658220372407,"eotMinutes":5.090650249418121,"ayanamsa":22.5531}},"calendars":{"vikram_samvat":1963,"vikram_samvatsara":"Siddhārthī","saka_samvat":1828,"saka_samvatsara":"Parābhava","bengali_samvat":1313,"malayalam_era":1082,"nanakshahi_year":437,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Pauṣa","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":"Pauṣa Kṛṣṇa Dvādaśī · Vikram 1963 Siddhārthī · Śaka 1828 Parābhava"},"festivals":[],"todays_walk":{"walk":{"id":"guru-walk","name":"Bṛhaspati Walk","name_sanskrit":"गुरु यात्रा","type":"graha","description":"Wisdom transmission + BG 4.34.","step_count":8,"url":"/walk/guru-walk"},"reason":"Guruvāra (Thursday) — 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, 1906 CE · Mathurā · Vidhyamitra","description":"December 13, 1906 CE for Mathurā: Kṛṣṇa Dvādaśī, sūryodaya 07:01, sūryāsta 17:27.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/1906-12-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/1906-12-13","sa":"https://sa.vidhyamitra.com/city/mathura/1906-12-13","hi":"https://hi.vidhyamitra.com/city/mathura/1906-12-13","x-default":"https://vidhyamitra.com/city/mathura/1906-12-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-08-10T12:34:51.261Z","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":"2026-08-10T12:34:51.261Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-08-10T12:34:51.261Z","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":["Goloka/Vraja Rādhā-Krishna","Vaikuṇṭha Lakṣmī-Nārāyaṇa","Mahāviṣṇu/Kāraṇodakaśāyī Viṣṇu","Garbhodakaśāyī Viṣṇu","Brahmā","Kṣīrodaka Paramātmā/Antaryāmī (Kṣīrodakaśāyī Viṣṇu)","Bhūmi","reader's own kṣetra anywhere on Bhūmi","exact reading kṣetra","reader-bhakta","chitta/vāṇī/aṅgulī","keyboard-silicon-pathways","Vidhyāmitra substrate","reader/seer","Krishna"],"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"}}}