{"id":"vidhyamitra:city-day:mathura:2084-01-15:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/2084-01-15","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2084-01-15","date_display":"January 15, 2084 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":2084,"month":1,"day":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2482239.770833,"kali_year":5185,"ahargana":1893774.2708,"sun":{"sidereal_longitude":269.4599,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":0.3024,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":8,"name":"Aṣṭamī","paksha":"Śukla","full_name":"Śukla Aṣṭamī","elongation_degrees":90.8425,"elapsed_within_tithi_degrees":6.8425},"nakshatra":{"number":1,"name":"Aśvinī","pada":1,"moon_longitude":0.3024,"elapsed_within_degrees":0.3024},"yoga":{"number":21,"name":"Siddha","sum_longitude":269.7622},"karana":{"half_tithi_index":15,"name":"Bava"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"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":2084,"month":1,"day":15,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2482239.770833,"ahargana":1893774.2708,"kali_year":5185,"ayanamsa_lahiri":25.027,"grahas":{"sun":{"sidereal_longitude":269.7798439999999,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":3.124144000000001,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":1},"retrograde":false,"latitude":4.4514},"mars":{"sidereal_longitude":228.84174400000006,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":250.86134399999992,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":35.55334399999998,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":3},"retrograde":true},"venus":{"sidereal_longitude":309.63484399999993,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":322.12624400000004,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":278.7257,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":98.7257,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","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":2084,"month":1,"day":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2482239.770833,"kali_year":5185,"ahargana":1893774.2708,"sun":{"sidereal_longitude":269.4599,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":0.3024,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":8,"name":"Aṣṭamī","paksha":"Śukla","full_name":"Śukla Aṣṭamī","elongation_degrees":90.8425,"elapsed_within_tithi_degrees":6.8425},"nakshatra":{"number":1,"name":"Aśvinī","pada":1,"moon_longitude":0.3024,"elapsed_within_degrees":0.3024},"yoga":{"number":21,"name":"Siddha","sum_longitude":269.7622},"karana":{"half_tithi_index":15,"name":"Bava"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.451,"elongation":90.843},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.451,"opposition_distance":89.157}},"eclipse_window_40days":[{"offset_days":8,"type":"lunar","occurs":true,"moon_latitude":-0.035,"opposition_distance":1.084}]},"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":"07:11","sunsetLocal":"17:46","solarNoonLocal":"12:29","dayLengthHours":10.58710354733232,"dayLengthDisplay":"10 Hours 35 Mins 14 Secs","nightLengthDisplay":"13 Hours 24 Mins 46 Secs","moonriseLocal":"12:17","moonsetLocal":"01:08","rahuKala":{"name":"Rāhu Kāla","start":"09:50","end":"11:09","startHours":9.830809937269139,"endHours":11.154197880685679,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"13:48","end":"15:07","startHours":13.800973767518759,"endHours":15.1243617109353,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"07:11","end":"08:30","startHours":7.184034050436059,"endHours":8.5074219938526,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:39","end":"10:00","startHours":9.654358211480268,"endHours":10.007261663058012,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:38","end":"07:54","startHours":7.625163364908239,"endHours":7.907486126170435,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:07","end":"12:50","startHours":12.124682372524477,"endHours":12.830489275679964,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:46","end":"06:29","startHours":5.772420244125083,"endHours":6.478227147280571,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:18","end":"07:11","startHours":6.3017754214916994,"endHours":7.184034050436059,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:15","end":"14:57","startHours":14.24210308199094,"endHours":14.947909985146428,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:34","end":"17:58","startHours":17.57113759776838,"endHours":17.97113759776838,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:46","end":"18:13","startHours":17.77113759776838,"endHours":18.212266912240562,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:31","end":"19:16","startHours":17.52113759776838,"endHours":19.27113759776838,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:07","end":"00:50","startHours":24.124682372524475,"endHours":24.830489275679966,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"07:11","end":"08:30","startHours":7.184034050436059,"endHours":8.5074219938526,"quality":"inauspicious"},{"name":"Śubha","start":"08:30","end":"09:50","startHours":8.5074219938526,"endHours":9.830809937269139,"quality":"auspicious"},{"name":"Roga","start":"09:50","end":"11:09","startHours":9.830809937269139,"endHours":11.154197880685679,"quality":"inauspicious"},{"name":"Udveg","start":"11:09","end":"12:29","startHours":11.154197880685679,"endHours":12.47758582410222,"quality":"inauspicious"},{"name":"Chala","start":"12:29","end":"13:48","startHours":12.47758582410222,"endHours":13.800973767518759,"quality":"neutral"},{"name":"Labha","start":"13:48","end":"15:07","startHours":13.800973767518759,"endHours":15.1243617109353,"quality":"auspicious"},{"name":"Amṛta","start":"15:07","end":"16:27","startHours":15.1243617109353,"endHours":16.44774965435184,"quality":"auspicious"},{"name":"Kāla","start":"16:27","end":"17:46","startHours":16.44774965435184,"endHours":17.77113759776838,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"17:46","end":"19:27","startHours":17.77113759776838,"endHours":19.44774965435184,"quality":"auspicious"},{"name":"Amṛta","start":"19:27","end":"21:07","startHours":19.44774965435184,"endHours":21.1243617109353,"quality":"auspicious"},{"name":"Kāla","start":"21:07","end":"22:48","startHours":21.1243617109353,"endHours":22.80097376751876,"quality":"inauspicious"},{"name":"Śubha","start":"22:48","end":"00:29","startHours":22.80097376751876,"endHours":24.47758582410222,"quality":"auspicious"},{"name":"Roga","start":"00:29","end":"02:09","startHours":24.47758582410222,"endHours":26.15419788068568,"quality":"inauspicious"},{"name":"Udveg","start":"02:09","end":"03:50","startHours":26.15419788068568,"endHours":27.830809937269137,"quality":"inauspicious"},{"name":"Chala","start":"03:50","end":"05:30","startHours":27.830809937269137,"endHours":29.5074219938526,"quality":"neutral"},{"name":"Labha","start":"05:30","end":"07:11","startHours":29.5074219938526,"endHours":31.18403405043606,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"07:11","end":"08:11","startHours":7.184034050436059,"endHours":8.18403405043606,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"08:11","end":"09:11","startHours":8.18403405043606,"endHours":9.18403405043606,"planetary_lord":"Moon"},{"name":"Hora 3","start":"09:11","end":"10:11","startHours":9.18403405043606,"endHours":10.18403405043606,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"10:11","end":"11:11","startHours":10.18403405043606,"endHours":11.18403405043606,"planetary_lord":"Venus"},{"name":"Hora 5","start":"11:11","end":"12:11","startHours":11.18403405043606,"endHours":12.18403405043606,"planetary_lord":"Sun"},{"name":"Hora 6","start":"12:11","end":"13:11","startHours":12.18403405043606,"endHours":13.18403405043606,"planetary_lord":"Mars"},{"name":"Hora 7","start":"13:11","end":"14:11","startHours":13.18403405043606,"endHours":14.18403405043606,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"14:11","end":"15:11","startHours":14.18403405043606,"endHours":15.18403405043606,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"15:11","end":"16:11","startHours":15.18403405043606,"endHours":16.18403405043606,"planetary_lord":"Moon"},{"name":"Hora 10","start":"16:11","end":"17:11","startHours":16.18403405043606,"endHours":17.18403405043606,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"17:11","end":"18:11","startHours":17.18403405043606,"endHours":18.18403405043606,"planetary_lord":"Venus"},{"name":"Hora 12","start":"18:11","end":"19:11","startHours":18.18403405043606,"endHours":19.18403405043606,"planetary_lord":"Sun"},{"name":"Hora 13","start":"19:11","end":"20:11","startHours":19.18403405043606,"endHours":20.18403405043606,"planetary_lord":"Mars"},{"name":"Hora 14","start":"20:11","end":"21:11","startHours":20.18403405043606,"endHours":21.18403405043606,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"21:11","end":"22:11","startHours":21.18403405043606,"endHours":22.18403405043606,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"22:11","end":"23:11","startHours":22.18403405043606,"endHours":23.18403405043606,"planetary_lord":"Moon"},{"name":"Hora 17","start":"23:11","end":"00:11","startHours":23.18403405043606,"endHours":24.18403405043606,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"00:11","end":"01:11","startHours":24.18403405043606,"endHours":25.18403405043606,"planetary_lord":"Venus"},{"name":"Hora 19","start":"01:11","end":"02:11","startHours":25.18403405043606,"endHours":26.18403405043606,"planetary_lord":"Sun"},{"name":"Hora 20","start":"02:11","end":"03:11","startHours":26.18403405043606,"endHours":27.18403405043606,"planetary_lord":"Mars"},{"name":"Hora 21","start":"03:11","end":"04:11","startHours":27.18403405043606,"endHours":28.18403405043606,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"04:11","end":"05:11","startHours":28.18403405043606,"endHours":29.18403405043606,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"05:11","end":"06:11","startHours":29.18403405043606,"endHours":30.18403405043606,"planetary_lord":"Moon"},{"name":"Hora 24","start":"06:11","end":"07:11","startHours":30.18403405043606,"endHours":31.18403405043606,"planetary_lord":"Mercury"}],"taraBala":{"favorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Svātī","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"unfavorable_nakshatras":["Aśvinī","Punarvasu","Puṣya","Aśleṣā","Maghā","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Mithuna","Kanyā","Tulā","Makara","Kumbha"],"unfavorable_rashis":["Vṛṣabha","Karka","Siṃha","Vṛścika","Dhanu","Mīna"]},"dishaShool":"East (Pūrva)","chandraVasa":"East","rahuVasa":"East","anandadiYoga":{"name":"Rākṣasa","quality":"Inauspicious"},"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":-21.163627544158786,"eotMinutes":-9.349949446133257,"ayanamsa":25.027}},"calendars":{"vikram_samvat":2141,"vikram_samvatsara":"Piṅgala","saka_samvat":2006,"saka_samvatsara":"Krodhi","bengali_samvat":1491,"malayalam_era":1260,"nanakshahi_year":615,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Śukla Pakṣa","solar_month":"Dhanus (Mārgaḻi)","ritu":"Hemanta (Pre-winter)","display_summary":"Pauṣa Śukla Aṣṭamī · Vikram 2141 Piṅgala · Śaka 2006 Krodhi"},"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":"shani-walk","name":"Śani Walk","name_sanskrit":"शनि यात्रा","type":"graha","description":"Tapas + endurance + BG 17.14-19.","step_count":7,"url":"/walk/shani-walk"},"reason":"Śanivāra (Saturday) — its presiding graha's walk."},"cosmic_resonances":[{"historical_date":"-3137-12-25","event":"Bhīṣma's Mahaprasthan","chart_id":"bhishma","shared_marker":"same Śukla Aṣṭamī","url":"/day/-3137-12-25","relevance":0.5},{"historical_date":"-3101-02-18","event":"Kali Yuga Epoch","chart_id":"kali-yuga-epoch","shared_marker":"same Aśvinī","url":"/day/-3101-02-18","relevance":0.5}]},"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 January 15, 2084 CE · Mathurā · Vidhyamitra","description":"January 15, 2084 CE for Mathurā: Śukla Aṣṭamī, sūryodaya 07:11, sūryāsta 17:46.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/2084-01-15","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/2084-01-15","sa":"https://sa.vidhyamitra.com/city/mathura/2084-01-15","hi":"https://hi.vidhyamitra.com/city/mathura/2084-01-15","x-default":"https://vidhyamitra.com/city/mathura/2084-01-15"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T16:02:49.989Z","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":"2026-05-14T16:02:49.989Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T16:02:49.989Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}