{"id":"vidhyamitra:city-day:vrindavan:2082-01-03:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/vrindavan/2082-01-03","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2082-01-03","date_display":"January 3, 2082 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":2082,"month":1,"day":3,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2481497.770833,"kali_year":5183,"ahargana":1893032.2708,"sun":{"sidereal_longitude":257.6586,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":304.7709,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":4,"name":"Caturthī","paksha":"Śukla","full_name":"Śukla Caturthī","elongation_degrees":47.1123,"elapsed_within_tithi_degrees":11.1123},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":4,"moon_longitude":304.7709,"elapsed_within_degrees":11.4376},"yoga":{"number":16,"name":"Siddhi","sum_longitude":202.4295},"karana":{"half_tithi_index":7,"name":"Viṣṭi"},"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":2082,"month":1,"day":3,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2481497.770833,"ahargana":1893032.2708,"kali_year":5183,"ayanamsa_lahiri":24.9986,"grahas":{"sun":{"sidereal_longitude":258.073894,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":302.870994,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":3},"retrograde":false,"latitude":-1.0319},"mars":{"sidereal_longitude":206.40959399999997,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":271.65059399999996,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":2},"retrograde":true},"jupiter":{"sidereal_longitude":326.576094,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":2},"retrograde":false},"venus":{"sidereal_longitude":260.4062939999999,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":299.05679399999997,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":318.0404,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":138.0404,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","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":2082,"month":1,"day":3,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2481497.770833,"kali_year":5183,"ahargana":1893032.2708,"sun":{"sidereal_longitude":257.6586,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":304.7709,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":4,"name":"Caturthī","paksha":"Śukla","full_name":"Śukla Caturthī","elongation_degrees":47.1123,"elapsed_within_tithi_degrees":11.1123},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":4,"moon_longitude":304.7709,"elapsed_within_degrees":11.4376},"yoga":{"number":16,"name":"Siddhi","sum_longitude":202.4295},"karana":{"half_tithi_index":7,"name":"Viṣṭi"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-1.032,"elongation":47.112},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-1.032,"opposition_distance":132.888}},"eclipse_window_40days":[]},"city":{"slug":"vrindavan","name":"Vṛndāvana","lat":27.565,"lon":77.6593,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tirtha"},"tier2":{"city":{"slug":"vrindavan","name":"Vṛndāvana","lat":27.565,"lon":77.6593,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tirtha"},"sunriseLocal":"07:10","sunsetLocal":"17:37","solarNoonLocal":"12:24","dayLengthHours":10.449390598515919,"dayLengthDisplay":"10 Hours 26 Mins 58 Secs","nightLengthDisplay":"13 Hours 33 Mins 02 Secs","moonriseLocal":"09:46","moonsetLocal":"21:00","rahuKala":{"name":"Rāhu Kāla","start":"09:47","end":"11:06","startHours":9.786856030881989,"endHours":11.093029855696479,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"13:42","end":"15:01","startHours":13.705377505325458,"endHours":15.011551330139948,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"07:10","end":"08:29","startHours":7.174508381253008,"endHours":8.480682206067499,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:37","end":"09:58","startHours":9.612699520906723,"endHours":9.961012540857253,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:37","end":"07:53","startHours":7.609899656191171,"endHours":7.888550072151595,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:03","end":"12:45","startHours":12.050890660560437,"endHours":12.7475167004615,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:47","end":"06:29","startHours":5.7812563014508855,"endHours":6.477882341351947,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:18","end":"07:10","startHours":6.303725831376681,"endHours":7.174508381253008,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:08","end":"14:50","startHours":14.14076878026362,"endHours":14.83739482016468,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:25","end":"17:49","startHours":17.42389897976893,"endHours":17.823898979768927,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:37","end":"18:04","startHours":17.623898979768928,"endHours":18.05929025470709,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:22","end":"19:07","startHours":17.373898979768928,"endHours":19.123898979768928,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:03","end":"00:45","startHours":24.050890660560437,"endHours":24.7475167004615,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"07:10","end":"08:29","startHours":7.174508381253008,"endHours":8.480682206067499,"quality":"inauspicious"},{"name":"Śubha","start":"08:29","end":"09:47","startHours":8.480682206067499,"endHours":9.786856030881989,"quality":"auspicious"},{"name":"Roga","start":"09:47","end":"11:06","startHours":9.786856030881989,"endHours":11.093029855696479,"quality":"inauspicious"},{"name":"Udveg","start":"11:06","end":"12:24","startHours":11.093029855696479,"endHours":12.399203680510968,"quality":"inauspicious"},{"name":"Chala","start":"12:24","end":"13:42","startHours":12.399203680510968,"endHours":13.705377505325458,"quality":"neutral"},{"name":"Labha","start":"13:42","end":"15:01","startHours":13.705377505325458,"endHours":15.011551330139948,"quality":"auspicious"},{"name":"Amṛta","start":"15:01","end":"16:19","startHours":15.011551330139948,"endHours":16.317725154954438,"quality":"auspicious"},{"name":"Kāla","start":"16:19","end":"17:37","startHours":16.317725154954438,"endHours":17.623898979768928,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"17:37","end":"19:19","startHours":17.623898979768928,"endHours":19.317725154954438,"quality":"auspicious"},{"name":"Amṛta","start":"19:19","end":"21:01","startHours":19.317725154954438,"endHours":21.011551330139948,"quality":"auspicious"},{"name":"Kāla","start":"21:01","end":"22:42","startHours":21.011551330139948,"endHours":22.70537750532546,"quality":"inauspicious"},{"name":"Śubha","start":"22:42","end":"00:24","startHours":22.70537750532546,"endHours":24.39920368051097,"quality":"auspicious"},{"name":"Roga","start":"00:24","end":"02:06","startHours":24.39920368051097,"endHours":26.09302985569648,"quality":"inauspicious"},{"name":"Udveg","start":"02:06","end":"03:47","startHours":26.09302985569648,"endHours":27.78685603088199,"quality":"inauspicious"},{"name":"Chala","start":"03:47","end":"05:29","startHours":27.78685603088199,"endHours":29.4806822060675,"quality":"neutral"},{"name":"Labha","start":"05:29","end":"07:10","startHours":29.4806822060675,"endHours":31.17450838125301,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"07:10","end":"08:10","startHours":7.174508381253008,"endHours":8.174508381253009,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"08:10","end":"09:10","startHours":8.174508381253009,"endHours":9.174508381253009,"planetary_lord":"Moon"},{"name":"Hora 3","start":"09:10","end":"10:10","startHours":9.174508381253009,"endHours":10.174508381253009,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"10:10","end":"11:10","startHours":10.174508381253009,"endHours":11.174508381253009,"planetary_lord":"Venus"},{"name":"Hora 5","start":"11:10","end":"12:10","startHours":11.174508381253009,"endHours":12.174508381253009,"planetary_lord":"Sun"},{"name":"Hora 6","start":"12:10","end":"13:10","startHours":12.174508381253009,"endHours":13.174508381253009,"planetary_lord":"Mars"},{"name":"Hora 7","start":"13:10","end":"14:10","startHours":13.174508381253009,"endHours":14.174508381253009,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"14:10","end":"15:10","startHours":14.174508381253009,"endHours":15.174508381253009,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"15:10","end":"16:10","startHours":15.174508381253009,"endHours":16.17450838125301,"planetary_lord":"Moon"},{"name":"Hora 10","start":"16:10","end":"17:10","startHours":16.17450838125301,"endHours":17.17450838125301,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"17:10","end":"18:10","startHours":17.17450838125301,"endHours":18.17450838125301,"planetary_lord":"Venus"},{"name":"Hora 12","start":"18:10","end":"19:10","startHours":18.17450838125301,"endHours":19.17450838125301,"planetary_lord":"Sun"},{"name":"Hora 13","start":"19:10","end":"20:10","startHours":19.17450838125301,"endHours":20.17450838125301,"planetary_lord":"Mars"},{"name":"Hora 14","start":"20:10","end":"21:10","startHours":20.17450838125301,"endHours":21.17450838125301,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"21:10","end":"22:10","startHours":21.17450838125301,"endHours":22.17450838125301,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"22:10","end":"23:10","startHours":22.17450838125301,"endHours":23.17450838125301,"planetary_lord":"Moon"},{"name":"Hora 17","start":"23:10","end":"00:10","startHours":23.17450838125301,"endHours":24.17450838125301,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"00:10","end":"01:10","startHours":24.17450838125301,"endHours":25.17450838125301,"planetary_lord":"Venus"},{"name":"Hora 19","start":"01:10","end":"02:10","startHours":25.17450838125301,"endHours":26.17450838125301,"planetary_lord":"Sun"},{"name":"Hora 20","start":"02:10","end":"03:10","startHours":26.17450838125301,"endHours":27.17450838125301,"planetary_lord":"Mars"},{"name":"Hora 21","start":"03:10","end":"04:10","startHours":27.17450838125301,"endHours":28.17450838125301,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"04:10","end":"05:10","startHours":28.17450838125301,"endHours":29.17450838125301,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"05:10","end":"06:10","startHours":29.17450838125301,"endHours":30.17450838125301,"planetary_lord":"Moon"},{"name":"Hora 24","start":"06:10","end":"07:10","startHours":30.17450838125301,"endHours":31.17450838125301,"planetary_lord":"Mercury"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Maghā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"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":"East (Pūrva)","chandraVasa":"South","rahuVasa":"East","anandadiYoga":{"name":"Siddhi","quality":"Auspicious"},"tropicalRitu":"Hemanta (Pre-winter) (tropical)","vedicRitu":"Hemanta (Pre-winter)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-22.79437560620696,"eotMinutes":-4.589420830658165,"ayanamsa":24.9986}},"calendars":{"vikram_samvat":2139,"vikram_samvatsara":"Rākṣasa","saka_samvat":2004,"saka_samvatsara":"Śubhakṛt","bengali_samvat":1489,"malayalam_era":1258,"nanakshahi_year":613,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Pauṣa","lunar_month_amanta":"Pauṣa","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Dhanus (Mārgaḻi)","ritu":"Hemanta (Pre-winter)","display_summary":"Pauṣa Śukla Caturthī · Vikram 2139 Rākṣasa · Śaka 2004 Śubhakṛt"},"festivals":[{"id":"vinayaka-chaturthi","name":"Vināyaka Caturthī (monthly)","name_sanskrit":"विनायक चतुर्थी","tradition":"Pan-Hindu","associated_deity":"Gaṇeśa","significance":"Monthly Śukla-pakṣa Caturthī; auspicious for new ventures.","vrata":true,"detection":{"tithi_number":4,"tithi_paksha":"Śukla"},"precedence":6}],"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":[]},"validity":{"eternal":false,"location_specific":"vrindavan"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga January 3, 2082 CE · Vṛndāvana · Vidhyamitra","description":"January 3, 2082 CE for Vṛndāvana: Śukla Caturthī, sūryodaya 07:10, sūryāsta 17:37.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/vrindavan/2082-01-03","hreflang_alternates":{"en":"https://vidhyamitra.com/city/vrindavan/2082-01-03","sa":"https://sa.vidhyamitra.com/city/vrindavan/2082-01-03","hi":"https://hi.vidhyamitra.com/city/vrindavan/2082-01-03","x-default":"https://vidhyamitra.com/city/vrindavan/2082-01-03"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T12:20:44.529Z","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":"2026-06-01T12:20:44.529Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T12:20:44.529Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}