{"id":"vidhyamitra:city-day:mathura:1968-12-25:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/1968-12-25","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1968-12-25","date_display":"December 25, 1968 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":"Sub-degree on Moon at any Kali-Yuga date (~2-5° residual max)","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":1968,"month":12,"day":25,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2440215.770833,"kali_year":5070,"ahargana":1851750.2708,"sun":{"sidereal_longitude":249.6806,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":318.168,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":6,"name":"Ṣaṣṭhī","paksha":"Śukla","full_name":"Śukla Ṣaṣṭhī","elongation_degrees":68.4874,"elapsed_within_tithi_degrees":8.4874},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":4,"moon_longitude":318.168,"elapsed_within_degrees":11.5014},"yoga":{"number":16,"name":"Siddhi","sum_longitude":207.8487},"karana":{"half_tithi_index":11,"name":"Taitila"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"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":1968,"month":12,"day":25,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2440215.770833,"ahargana":1851750.2708,"kali_year":5070,"ayanamsa_lahiri":23.4197,"grahas":{"sun":{"sidereal_longitude":249.90017,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":3},"retrograde":false},"moon":{"sidereal_longitude":321.28247,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":1},"retrograde":false,"latitude":-2.0547},"mars":{"sidereal_longitude":184.21807,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":260.52946999999995,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":162.06826999999998,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":1},"retrograde":false},"venus":{"sidereal_longitude":294.6883700000001,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":355.84547,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":345.3594,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":165.3594,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","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":"Sub-degree on Moon at any Kali-Yuga date (~2-5° residual max)","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":1968,"month":12,"day":25,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2440215.770833,"kali_year":5070,"ahargana":1851750.2708,"sun":{"sidereal_longitude":249.6806,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":318.168,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":6,"name":"Ṣaṣṭhī","paksha":"Śukla","full_name":"Śukla Ṣaṣṭhī","elongation_degrees":68.4874,"elapsed_within_tithi_degrees":8.4874},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":4,"moon_longitude":318.168,"elapsed_within_degrees":11.5014},"yoga":{"number":16,"name":"Siddhi","sum_longitude":207.8487},"karana":{"half_tithi_index":11,"name":"Taitila"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-2.055,"elongation":68.487},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-2.055,"opposition_distance":111.513}},"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":"07:08","sunsetLocal":"17:32","solarNoonLocal":"12:20","dayLengthHours":10.404902957958916,"dayLengthDisplay":"10 Hours 24 Mins 18 Secs","nightLengthDisplay":"13 Hours 35 Mins 42 Secs","moonriseLocal":"11:15","moonsetLocal":"22:55","rahuKala":{"name":"Rāhu Kāla","start":"12:20","end":"13:38","startHours":12.329977615701157,"endHours":13.630590485446023,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"08:26","end":"09:44","startHours":8.428139006466564,"endHours":9.72875187621143,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"11:02","end":"12:20","startHours":11.029364745956293,"endHours":12.329977615701157,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:33","end":"09:54","startHours":9.555336826912114,"endHours":9.902166925510745,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:34","end":"07:50","startHours":7.561063759969988,"endHours":7.838527838848893,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:59","end":"12:41","startHours":11.983147517102527,"endHours":12.676807714299787,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:44","end":"06:26","startHours":5.740205742327178,"endHours":6.4338659395244395,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:16","end":"07:08","startHours":6.260450890225124,"endHours":7.1275261367217,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:04","end":"14:45","startHours":14.06412810869431,"endHours":14.757788305891571,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:20","end":"17:44","startHours":17.332429094680617,"endHours":17.732429094680615,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:32","end":"17:58","startHours":17.532429094680616,"endHours":17.965966717928904,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:17","end":"19:02","startHours":17.282429094680616,"endHours":19.032429094680616,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:59","end":"00:41","startHours":23.983147517102527,"endHours":24.676807714299787,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"07:08","end":"08:26","startHours":7.1275261367217,"endHours":8.428139006466564,"quality":"auspicious"},{"name":"Amṛta","start":"08:26","end":"09:44","startHours":8.428139006466564,"endHours":9.72875187621143,"quality":"auspicious"},{"name":"Kāla","start":"09:44","end":"11:02","startHours":9.72875187621143,"endHours":11.029364745956293,"quality":"inauspicious"},{"name":"Śubha","start":"11:02","end":"12:20","startHours":11.029364745956293,"endHours":12.329977615701157,"quality":"auspicious"},{"name":"Roga","start":"12:20","end":"13:38","startHours":12.329977615701157,"endHours":13.630590485446023,"quality":"inauspicious"},{"name":"Udveg","start":"13:38","end":"14:56","startHours":13.630590485446023,"endHours":14.931203355190886,"quality":"inauspicious"},{"name":"Chala","start":"14:56","end":"16:14","startHours":14.931203355190886,"endHours":16.231816224935752,"quality":"neutral"},{"name":"Labha","start":"16:14","end":"17:32","startHours":16.231816224935752,"endHours":17.532429094680616,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"17:32","end":"19:14","startHours":17.532429094680616,"endHours":19.231816224935752,"quality":"inauspicious"},{"name":"Chala","start":"19:14","end":"20:56","startHours":19.231816224935752,"endHours":20.93120335519089,"quality":"neutral"},{"name":"Labha","start":"20:56","end":"22:38","startHours":20.93120335519089,"endHours":22.63059048544602,"quality":"auspicious"},{"name":"Amṛta","start":"22:38","end":"00:20","startHours":22.63059048544602,"endHours":24.329977615701157,"quality":"auspicious"},{"name":"Kāla","start":"00:20","end":"02:02","startHours":24.329977615701157,"endHours":26.029364745956293,"quality":"inauspicious"},{"name":"Śubha","start":"02:02","end":"03:44","startHours":26.029364745956293,"endHours":27.72875187621143,"quality":"auspicious"},{"name":"Roga","start":"03:44","end":"05:26","startHours":27.72875187621143,"endHours":29.428139006466566,"quality":"inauspicious"},{"name":"Udveg","start":"05:26","end":"07:08","startHours":29.428139006466566,"endHours":31.1275261367217,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"07:08","end":"08:08","startHours":7.1275261367217,"endHours":8.1275261367217,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"08:08","end":"09:08","startHours":8.1275261367217,"endHours":9.1275261367217,"planetary_lord":"Venus"},{"name":"Hora 3","start":"09:08","end":"10:08","startHours":9.1275261367217,"endHours":10.1275261367217,"planetary_lord":"Sun"},{"name":"Hora 4","start":"10:08","end":"11:08","startHours":10.1275261367217,"endHours":11.1275261367217,"planetary_lord":"Mars"},{"name":"Hora 5","start":"11:08","end":"12:08","startHours":11.1275261367217,"endHours":12.1275261367217,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"12:08","end":"13:08","startHours":12.1275261367217,"endHours":13.1275261367217,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"13:08","end":"14:08","startHours":13.1275261367217,"endHours":14.1275261367217,"planetary_lord":"Moon"},{"name":"Hora 8","start":"14:08","end":"15:08","startHours":14.1275261367217,"endHours":15.1275261367217,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"15:08","end":"16:08","startHours":15.1275261367217,"endHours":16.1275261367217,"planetary_lord":"Venus"},{"name":"Hora 10","start":"16:08","end":"17:08","startHours":16.1275261367217,"endHours":17.1275261367217,"planetary_lord":"Sun"},{"name":"Hora 11","start":"17:08","end":"18:08","startHours":17.1275261367217,"endHours":18.1275261367217,"planetary_lord":"Mars"},{"name":"Hora 12","start":"18:08","end":"19:08","startHours":18.1275261367217,"endHours":19.1275261367217,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"19:08","end":"20:08","startHours":19.1275261367217,"endHours":20.1275261367217,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"20:08","end":"21:08","startHours":20.1275261367217,"endHours":21.1275261367217,"planetary_lord":"Moon"},{"name":"Hora 15","start":"21:08","end":"22:08","startHours":21.1275261367217,"endHours":22.1275261367217,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"22:08","end":"23:08","startHours":22.1275261367217,"endHours":23.1275261367217,"planetary_lord":"Venus"},{"name":"Hora 17","start":"23:08","end":"00:08","startHours":23.1275261367217,"endHours":24.1275261367217,"planetary_lord":"Sun"},{"name":"Hora 18","start":"00:08","end":"01:08","startHours":24.1275261367217,"endHours":25.1275261367217,"planetary_lord":"Mars"},{"name":"Hora 19","start":"01:08","end":"02:08","startHours":25.1275261367217,"endHours":26.1275261367217,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"02:08","end":"03:08","startHours":26.1275261367217,"endHours":27.1275261367217,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"03:08","end":"04:08","startHours":27.1275261367217,"endHours":28.1275261367217,"planetary_lord":"Moon"},{"name":"Hora 22","start":"04:08","end":"05:08","startHours":28.1275261367217,"endHours":29.1275261367217,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"05:08","end":"06:08","startHours":29.1275261367217,"endHours":30.1275261367217,"planetary_lord":"Venus"},{"name":"Hora 24","start":"06:08","end":"07:08","startHours":30.1275261367217,"endHours":31.1275261367217,"planetary_lord":"Sun"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Punarvasu","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Uttara Phalgunī","Hasta","Citrā","Svātī","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Karka","Siṃha","Vṛścika","Dhanu","Kumbha"],"unfavorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Tulā","Makara","Mīna"]},"dishaShool":"North (Uttara)","chandraVasa":"South","rahuVasa":"South-West","anandadiYoga":{"name":"Śrīvatsa","quality":"Auspicious"},"drikRitu":"Hemanta (Pre-winter) (Drik)","vedicRitu":"Hemanta (Pre-winter)","drikAyana":"Uttarāyaṇa","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":-23.39482420671053,"eotMinutes":-0.4934569420694592,"ayanamsa":23.4197}},"calendars":{"vikram_samvat":2025,"vikram_samvatsara":"Durmati","saka_samvat":1890,"saka_samvatsara":"Kīlaka","bengali_samvat":1375,"malayalam_era":1144,"nanakshahi_year":499,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Śukla Pakṣa","solar_month":"Dhanus (Mārgaḻi)","ritu":"Hemanta (Pre-winter)","display_summary":"Pauṣa Śukla Ṣaṣṭhī · Vikram 2025 Durmati · Śaka 1890 Kīlaka"},"festivals":[{"id":"lohri","name":"Lohri","name_sanskrit":"लोहड़ी","tradition":"Regional","significance":"Punjab harvest festival; eve of Makara Saṅkrānti. (Approximated as 13/14 January annually; correct via Sun in Dhanu/Makara cusp.)","vrata":false,"detection":{"sun_rashi":"Dhanu"},"precedence":4},{"id":"dhanu-sankranti","name":"Dhanu Saṅkrānti","name_sanskrit":"धनु सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Sagittarius; Dhanu-māsa (Khara-māsa).","vrata":false,"detection":{"sun_rashi":"Dhanu"},"precedence":5}],"todays_walk":{"walk":{"id":"budha-walk","name":"Budha Walk","name_sanskrit":"बुध यात्रा","type":"graha","description":"Discrimination + BG 2.41 (vyavasāyātmikā buddhi).","step_count":6,"url":"/walk/budha-walk"},"reason":"Budhavāra (Wednesday) — 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 25, 1968 CE · Mathurā · Vidhyamitra","description":"December 25, 1968 CE for Mathurā: Śukla Ṣaṣṭhī, sūryodaya 07:08, sūryāsta 17:32.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/1968-12-25","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/1968-12-25","sa":"https://sa.vidhyamitra.com/city/mathura/1968-12-25","hi":"https://hi.vidhyamitra.com/city/mathura/1968-12-25","x-default":"https://vidhyamitra.com/city/mathura/1968-12-25"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T14:47:45.740Z","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":"2026-05-14T14:47:45.740Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T14:47:45.740Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}