{"id":"vidhyamitra:city-day:vrindavan:2178-01-02:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/vrindavan/2178-01-02","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2178-01-02","date_display":"January 2, 2178 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":2178,"month":1,"day":2,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2516559.770833,"kali_year":5279,"ahargana":1928094.2708,"sun":{"sidereal_longitude":254.7381,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":43.7762,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":13,"name":"Trayodaśī","paksha":"Śukla","full_name":"Śukla Trayodaśī","elongation_degrees":149.0382,"elapsed_within_tithi_degrees":5.0382},"nakshatra":{"number":4,"name":"Rohiṇī","pada":2,"moon_longitude":43.7762,"elapsed_within_degrees":3.7762},"yoga":{"number":23,"name":"Śubha","sum_longitude":298.5143},"karana":{"half_tithi_index":24,"name":"Kaulava"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"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":2178,"month":1,"day":2,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2516559.770833,"ahargana":1928094.2708,"kali_year":5279,"ayanamsa_lahiri":26.3396,"grahas":{"sun":{"sidereal_longitude":255.40496799999994,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":43.722267999999985,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":2},"retrograde":false,"latitude":2.6756},"mars":{"sidereal_longitude":212.87956800000006,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":16,"name":"Viśākhā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":249.44626800000003,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":1.2835680000000025,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":1},"retrograde":false},"venus":{"sidereal_longitude":263.32706800000005,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":33.74296800000002,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":3},"retrograde":true},"rahu":{"sidereal_longitude":260.2869,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":80.2869,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":1},"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":2178,"month":1,"day":2,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2516559.770833,"kali_year":5279,"ahargana":1928094.2708,"sun":{"sidereal_longitude":254.7381,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":43.7762,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":13,"name":"Trayodaśī","paksha":"Śukla","full_name":"Śukla Trayodaśī","elongation_degrees":149.0382,"elapsed_within_tithi_degrees":5.0382},"nakshatra":{"number":4,"name":"Rohiṇī","pada":2,"moon_longitude":43.7762,"elapsed_within_degrees":3.7762},"yoga":{"number":23,"name":"Śubha","sum_longitude":298.5143},"karana":{"half_tithi_index":24,"name":"Kaulava"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":2.676,"elongation":149.038},"lunar":{"type":"lunar","occurs":false,"moon_latitude":2.676,"opposition_distance":30.962}},"eclipse_window_40days":[{"offset_days":-13,"type":"solar","occurs":true,"moon_latitude":-1.455,"elongation":0.707},{"offset_days":17,"type":"solar","occurs":true,"moon_latitude":1.2,"elongation":2.654}]},"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":10.439208378357513,"dayLengthDisplay":"10 Hours 26 Mins 21 Secs","nightLengthDisplay":"13 Hours 33 Mins 39 Secs","moonriseLocal":"15:25","moonsetLocal":"05:08","rahuKala":{"name":"Rāhu Kāla","start":"11:05","end":"12:24","startHours":11.086974120794537,"endHours":12.391875168089225,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"15:00","end":"16:18","startHours":15.001677262678603,"endHours":16.306578309973293,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"08:29","end":"09:47","startHours":8.477172026205157,"endHours":9.782073073499847,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:36","end":"09:57","startHours":9.608086267193888,"endHours":9.956059879805805,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:36","end":"07:53","startHours":7.607237994675365,"endHours":7.885616884764898,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:03","end":"12:44","startHours":12.043901555477309,"endHours":12.739848780701141,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:47","end":"06:29","startHours":5.7803765284628,"endHours":6.476323753686634,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:18","end":"07:10","startHours":6.302336947380676,"endHours":7.172270978910468,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:08","end":"14:50","startHours":14.13174323114881,"endHours":14.827690456372645,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:25","end":"17:49","startHours":17.411479357267982,"endHours":17.81147935726798,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:37","end":"18:03","startHours":17.61147935726798,"endHours":18.04644637303288,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:22","end":"19:07","startHours":17.36147935726798,"endHours":19.11147935726798,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:03","end":"00:44","startHours":24.04390155547731,"endHours":24.73984878070114,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Chala","start":"07:10","end":"08:29","startHours":7.172270978910468,"endHours":8.477172026205157,"quality":"neutral"},{"name":"Labha","start":"08:29","end":"09:47","startHours":8.477172026205157,"endHours":9.782073073499847,"quality":"auspicious"},{"name":"Amṛta","start":"09:47","end":"11:05","startHours":9.782073073499847,"endHours":11.086974120794537,"quality":"auspicious"},{"name":"Kāla","start":"11:05","end":"12:24","startHours":11.086974120794537,"endHours":12.391875168089225,"quality":"inauspicious"},{"name":"Śubha","start":"12:24","end":"13:42","startHours":12.391875168089225,"endHours":13.696776215383913,"quality":"auspicious"},{"name":"Roga","start":"13:42","end":"15:00","startHours":13.696776215383913,"endHours":15.001677262678603,"quality":"inauspicious"},{"name":"Udveg","start":"15:00","end":"16:18","startHours":15.001677262678603,"endHours":16.306578309973293,"quality":"inauspicious"},{"name":"Chala","start":"16:18","end":"17:37","startHours":16.306578309973293,"endHours":17.61147935726798,"quality":"neutral"}],"nightChoghadiyas":[{"name":"Roga","start":"17:37","end":"19:18","startHours":17.61147935726798,"endHours":19.306578309973293,"quality":"inauspicious"},{"name":"Udveg","start":"19:18","end":"21:00","startHours":19.306578309973293,"endHours":21.001677262678605,"quality":"inauspicious"},{"name":"Chala","start":"21:00","end":"22:42","startHours":21.001677262678605,"endHours":22.696776215383913,"quality":"neutral"},{"name":"Labha","start":"22:42","end":"00:24","startHours":22.696776215383913,"endHours":24.391875168089225,"quality":"auspicious"},{"name":"Amṛta","start":"00:24","end":"02:05","startHours":24.391875168089225,"endHours":26.086974120794537,"quality":"auspicious"},{"name":"Kāla","start":"02:05","end":"03:47","startHours":26.086974120794537,"endHours":27.782073073499845,"quality":"inauspicious"},{"name":"Śubha","start":"03:47","end":"05:29","startHours":27.782073073499845,"endHours":29.477172026205157,"quality":"auspicious"},{"name":"Roga","start":"05:29","end":"07:10","startHours":29.477172026205157,"endHours":31.17227097891047,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"07:10","end":"08:10","startHours":7.172270978910468,"endHours":8.172270978910468,"planetary_lord":"Venus"},{"name":"Hora 2","start":"08:10","end":"09:10","startHours":8.172270978910468,"endHours":9.172270978910468,"planetary_lord":"Sun"},{"name":"Hora 3","start":"09:10","end":"10:10","startHours":9.172270978910468,"endHours":10.172270978910468,"planetary_lord":"Mars"},{"name":"Hora 4","start":"10:10","end":"11:10","startHours":10.172270978910468,"endHours":11.172270978910468,"planetary_lord":"Jupiter"},{"name":"Hora 5","start":"11:10","end":"12:10","startHours":11.172270978910468,"endHours":12.172270978910468,"planetary_lord":"Saturn"},{"name":"Hora 6","start":"12:10","end":"13:10","startHours":12.172270978910468,"endHours":13.172270978910468,"planetary_lord":"Moon"},{"name":"Hora 7","start":"13:10","end":"14:10","startHours":13.172270978910468,"endHours":14.172270978910468,"planetary_lord":"Mercury"},{"name":"Hora 8","start":"14:10","end":"15:10","startHours":14.172270978910468,"endHours":15.172270978910468,"planetary_lord":"Venus"},{"name":"Hora 9","start":"15:10","end":"16:10","startHours":15.172270978910468,"endHours":16.17227097891047,"planetary_lord":"Sun"},{"name":"Hora 10","start":"16:10","end":"17:10","startHours":16.17227097891047,"endHours":17.17227097891047,"planetary_lord":"Mars"},{"name":"Hora 11","start":"17:10","end":"18:10","startHours":17.17227097891047,"endHours":18.17227097891047,"planetary_lord":"Jupiter"},{"name":"Hora 12","start":"18:10","end":"19:10","startHours":18.17227097891047,"endHours":19.17227097891047,"planetary_lord":"Saturn"},{"name":"Hora 13","start":"19:10","end":"20:10","startHours":19.17227097891047,"endHours":20.17227097891047,"planetary_lord":"Moon"},{"name":"Hora 14","start":"20:10","end":"21:10","startHours":20.17227097891047,"endHours":21.17227097891047,"planetary_lord":"Mercury"},{"name":"Hora 15","start":"21:10","end":"22:10","startHours":21.17227097891047,"endHours":22.17227097891047,"planetary_lord":"Venus"},{"name":"Hora 16","start":"22:10","end":"23:10","startHours":22.17227097891047,"endHours":23.17227097891047,"planetary_lord":"Sun"},{"name":"Hora 17","start":"23:10","end":"00:10","startHours":23.17227097891047,"endHours":24.17227097891047,"planetary_lord":"Mars"},{"name":"Hora 18","start":"00:10","end":"01:10","startHours":24.17227097891047,"endHours":25.17227097891047,"planetary_lord":"Jupiter"},{"name":"Hora 19","start":"01:10","end":"02:10","startHours":25.17227097891047,"endHours":26.17227097891047,"planetary_lord":"Saturn"},{"name":"Hora 20","start":"02:10","end":"03:10","startHours":26.17227097891047,"endHours":27.17227097891047,"planetary_lord":"Moon"},{"name":"Hora 21","start":"03:10","end":"04:10","startHours":27.17227097891047,"endHours":28.17227097891047,"planetary_lord":"Mercury"},{"name":"Hora 22","start":"04:10","end":"05:10","startHours":28.17227097891047,"endHours":29.17227097891047,"planetary_lord":"Venus"},{"name":"Hora 23","start":"05:10","end":"06:10","startHours":29.17227097891047,"endHours":30.17227097891047,"planetary_lord":"Sun"},{"name":"Hora 24","start":"06:10","end":"07:10","startHours":30.17227097891047,"endHours":31.17227097891047,"planetary_lord":"Mars"}],"taraBala":{"favorable_nakshatras":["Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Citrā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Karka","Tulā","Vṛścika","Kumbha","Mīna"],"unfavorable_rashis":["Meṣa","Mithuna","Siṃha","Kanyā","Dhanu","Makara"]},"dishaShool":"West (Paścim)","chandraVasa":"South-East","rahuVasa":"South-East","anandadiYoga":{"name":"Mātaṇga","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":-22.917534237374802,"eotMinutes":-4.149710085353452,"ayanamsa":26.3396}},"calendars":{"vikram_samvat":2235,"vikram_samvatsara":"Khara","saka_samvat":2100,"saka_samvatsara":"Bahudhānya","bengali_samvat":1585,"malayalam_era":1354,"nanakshahi_year":709,"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 Trayodaśī · Vikram 2235 Khara · Śaka 2100 Bahudhānya"},"festivals":[{"id":"pradosha-vrata","name":"Pradoṣa Vrata","name_sanskrit":"प्रदोष व्रत","tradition":"Shaiva","associated_deity":"Śiva","significance":"Twilight worship of Śiva on Trayodaśī.","vrata":true,"detection":{"any_of":[{"tithi_number":13},{"tithi_number":28}]},"precedence":7}],"todays_walk":{"walk":{"id":"shukra-walk","name":"Śukra Walk","name_sanskrit":"शुक्र यात्रा","type":"graha","description":"Beauty + creativity in dharma + BG 10.36.","step_count":5,"url":"/walk/shukra-walk"},"reason":"Śukravāra (Friday) — its presiding graha's walk."},"cosmic_resonances":[{"historical_date":"-3226-07-09","event":"Bhagavān Krishna's birth at Mathurā","chart_id":"krishna","shared_marker":"same Rohiṇī","url":"/day/-3226-07-09","relevance":0.5}]},"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 2, 2178 CE · Vṛndāvana · Vidhyamitra","description":"January 2, 2178 CE for Vṛndāvana: Śukla Trayodaśī, sūryodaya 07:10, sūryāsta 17:37.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/vrindavan/2178-01-02","hreflang_alternates":{"en":"https://vidhyamitra.com/city/vrindavan/2178-01-02","sa":"https://sa.vidhyamitra.com/city/vrindavan/2178-01-02","hi":"https://hi.vidhyamitra.com/city/vrindavan/2178-01-02","x-default":"https://vidhyamitra.com/city/vrindavan/2178-01-02"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T00:19:49.399Z","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":"2026-05-31T00:19:49.399Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T00:19:49.399Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}