{"id":"vidhyamitra:city-day:vrindavan:2087-01-12:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/vrindavan/2087-01-12","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2087-01-12","date_display":"January 12, 2087 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":2087,"month":1,"day":12,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2483332.770833,"kali_year":5188,"ahargana":1894867.2708,"sun":{"sidereal_longitude":266.6078,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":357.9279,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":8,"name":"Aṣṭamī","paksha":"Śukla","full_name":"Śukla Aṣṭamī","elongation_degrees":91.3202,"elapsed_within_tithi_degrees":7.3202},"nakshatra":{"number":27,"name":"Revatī","pada":4,"moon_longitude":357.9279,"elapsed_within_degrees":11.2613},"yoga":{"number":20,"name":"Śiva","sum_longitude":264.5357},"karana":{"half_tithi_index":15,"name":"Bava"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"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":2087,"month":1,"day":12,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2483332.770833,"ahargana":1894867.2708,"kali_year":5188,"ayanamsa_lahiri":25.0688,"grahas":{"sun":{"sidereal_longitude":266.95818399999996,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":358.270884,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":4},"retrograde":false,"latitude":3.0607},"mars":{"sidereal_longitude":63.86928399999999,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":281.66108399999996,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":142.807384,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":3},"retrograde":true},"venus":{"sidereal_longitude":290.1643839999999,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":357.960484,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":220.8133,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":40.8133,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","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":2087,"month":1,"day":12,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2483332.770833,"kali_year":5188,"ahargana":1894867.2708,"sun":{"sidereal_longitude":266.6078,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":357.9279,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":8,"name":"Aṣṭamī","paksha":"Śukla","full_name":"Śukla Aṣṭamī","elongation_degrees":91.3202,"elapsed_within_tithi_degrees":7.3202},"nakshatra":{"number":27,"name":"Revatī","pada":4,"moon_longitude":357.9279,"elapsed_within_degrees":11.2613},"yoga":{"number":20,"name":"Śiva","sum_longitude":264.5357},"karana":{"half_tithi_index":15,"name":"Bava"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":3.061,"elongation":91.32},"lunar":{"type":"lunar","occurs":false,"moon_latitude":3.061,"opposition_distance":88.68}},"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":"07:11","sunsetLocal":"17:44","solarNoonLocal":"12:28","dayLengthHours":10.544218426141375,"dayLengthDisplay":"10 Hours 32 Mins 39 Secs","nightLengthDisplay":"13 Hours 27 Mins 21 Secs","moonriseLocal":"12:11","moonsetLocal":"00:55","rahuKala":{"name":"Rāhu Kāla","start":"16:25","end":"17:44","startHours":16.414553287075982,"endHours":17.73258059034365,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"12:28","end":"13:47","startHours":12.460471377272963,"endHours":13.778498680540636,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"15:06","end":"16:25","startHours":15.096525983808307,"endHours":16.414553287075982,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:39","end":"10:00","startHours":9.648679796968597,"endHours":10.000153744506644,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:38","end":"07:55","startHours":7.627704598624834,"endHours":7.90888375665527,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:07","end":"12:49","startHours":12.108997429734918,"endHours":12.811945324811012,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:47","end":"06:29","startHours":5.7824663740500934,"endHours":6.485414269126185,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:19","end":"07:11","startHours":6.309677295357162,"endHours":7.188362164202276,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:13","end":"14:55","startHours":14.217841114963193,"endHours":14.920789010039284,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:32","end":"17:56","startHours":17.532580590343652,"endHours":17.93258059034365,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:44","end":"18:10","startHours":17.73258059034365,"endHours":18.17192302476621,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:29","end":"19:14","startHours":17.48258059034365,"endHours":19.23258059034365,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:07","end":"00:49","startHours":24.10899742973492,"endHours":24.811945324811013,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Udveg","start":"07:11","end":"08:30","startHours":7.188362164202276,"endHours":8.506389467469948,"quality":"inauspicious"},{"name":"Chala","start":"08:30","end":"09:49","startHours":8.506389467469948,"endHours":9.82441677073762,"quality":"neutral"},{"name":"Labha","start":"09:49","end":"11:09","startHours":9.82441677073762,"endHours":11.142444074005292,"quality":"auspicious"},{"name":"Amṛta","start":"11:09","end":"12:28","startHours":11.142444074005292,"endHours":12.460471377272963,"quality":"auspicious"},{"name":"Kāla","start":"12:28","end":"13:47","startHours":12.460471377272963,"endHours":13.778498680540636,"quality":"inauspicious"},{"name":"Śubha","start":"13:47","end":"15:06","startHours":13.778498680540636,"endHours":15.096525983808307,"quality":"auspicious"},{"name":"Roga","start":"15:06","end":"16:25","startHours":15.096525983808307,"endHours":16.414553287075982,"quality":"inauspicious"},{"name":"Udveg","start":"16:25","end":"17:44","startHours":16.414553287075982,"endHours":17.73258059034365,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Śubha","start":"17:44","end":"19:25","startHours":17.73258059034365,"endHours":19.41455328707598,"quality":"auspicious"},{"name":"Roga","start":"19:25","end":"21:06","startHours":19.41455328707598,"endHours":21.09652598380831,"quality":"inauspicious"},{"name":"Udveg","start":"21:06","end":"22:47","startHours":21.09652598380831,"endHours":22.778498680540636,"quality":"inauspicious"},{"name":"Chala","start":"22:47","end":"00:28","startHours":22.778498680540636,"endHours":24.460471377272963,"quality":"neutral"},{"name":"Labha","start":"00:28","end":"02:09","startHours":24.460471377272963,"endHours":26.14244407400529,"quality":"auspicious"},{"name":"Amṛta","start":"02:09","end":"03:49","startHours":26.14244407400529,"endHours":27.82441677073762,"quality":"auspicious"},{"name":"Kāla","start":"03:49","end":"05:30","startHours":27.82441677073762,"endHours":29.506389467469948,"quality":"inauspicious"},{"name":"Śubha","start":"05:30","end":"07:11","startHours":29.506389467469948,"endHours":31.188362164202275,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"07:11","end":"08:11","startHours":7.188362164202276,"endHours":8.188362164202276,"planetary_lord":"Sun"},{"name":"Hora 2","start":"08:11","end":"09:11","startHours":8.188362164202276,"endHours":9.188362164202276,"planetary_lord":"Mars"},{"name":"Hora 3","start":"09:11","end":"10:11","startHours":9.188362164202276,"endHours":10.188362164202276,"planetary_lord":"Jupiter"},{"name":"Hora 4","start":"10:11","end":"11:11","startHours":10.188362164202276,"endHours":11.188362164202276,"planetary_lord":"Saturn"},{"name":"Hora 5","start":"11:11","end":"12:11","startHours":11.188362164202276,"endHours":12.188362164202276,"planetary_lord":"Moon"},{"name":"Hora 6","start":"12:11","end":"13:11","startHours":12.188362164202276,"endHours":13.188362164202276,"planetary_lord":"Mercury"},{"name":"Hora 7","start":"13:11","end":"14:11","startHours":13.188362164202276,"endHours":14.188362164202276,"planetary_lord":"Venus"},{"name":"Hora 8","start":"14:11","end":"15:11","startHours":14.188362164202276,"endHours":15.188362164202276,"planetary_lord":"Sun"},{"name":"Hora 9","start":"15:11","end":"16:11","startHours":15.188362164202276,"endHours":16.188362164202275,"planetary_lord":"Mars"},{"name":"Hora 10","start":"16:11","end":"17:11","startHours":16.188362164202275,"endHours":17.188362164202275,"planetary_lord":"Jupiter"},{"name":"Hora 11","start":"17:11","end":"18:11","startHours":17.188362164202275,"endHours":18.188362164202275,"planetary_lord":"Saturn"},{"name":"Hora 12","start":"18:11","end":"19:11","startHours":18.188362164202275,"endHours":19.188362164202275,"planetary_lord":"Moon"},{"name":"Hora 13","start":"19:11","end":"20:11","startHours":19.188362164202275,"endHours":20.188362164202275,"planetary_lord":"Mercury"},{"name":"Hora 14","start":"20:11","end":"21:11","startHours":20.188362164202275,"endHours":21.188362164202275,"planetary_lord":"Venus"},{"name":"Hora 15","start":"21:11","end":"22:11","startHours":21.188362164202275,"endHours":22.188362164202275,"planetary_lord":"Sun"},{"name":"Hora 16","start":"22:11","end":"23:11","startHours":22.188362164202275,"endHours":23.188362164202275,"planetary_lord":"Mars"},{"name":"Hora 17","start":"23:11","end":"00:11","startHours":23.188362164202275,"endHours":24.188362164202275,"planetary_lord":"Jupiter"},{"name":"Hora 18","start":"00:11","end":"01:11","startHours":24.188362164202275,"endHours":25.188362164202275,"planetary_lord":"Saturn"},{"name":"Hora 19","start":"01:11","end":"02:11","startHours":25.188362164202275,"endHours":26.188362164202275,"planetary_lord":"Moon"},{"name":"Hora 20","start":"02:11","end":"03:11","startHours":26.188362164202275,"endHours":27.188362164202275,"planetary_lord":"Mercury"},{"name":"Hora 21","start":"03:11","end":"04:11","startHours":27.188362164202275,"endHours":28.188362164202275,"planetary_lord":"Venus"},{"name":"Hora 22","start":"04:11","end":"05:11","startHours":28.188362164202275,"endHours":29.188362164202275,"planetary_lord":"Sun"},{"name":"Hora 23","start":"05:11","end":"06:11","startHours":29.188362164202275,"endHours":30.188362164202275,"planetary_lord":"Mars"},{"name":"Hora 24","start":"06:11","end":"07:11","startHours":30.188362164202275,"endHours":31.188362164202275,"planetary_lord":"Jupiter"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"unfavorable_nakshatras":["Ārdrā","Punarvasu","Puṣya","Aśleṣā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Siṃha","Kanyā","Dhanu","Makara","Mīna"],"unfavorable_rashis":["Meṣa","Mithuna","Karka","Tulā","Vṛścika","Kumbha"]},"dishaShool":"West (Paścim)","chandraVasa":"South-West","rahuVasa":"North-East","anandadiYoga":{"name":"Sushira","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":-21.635521067848646,"eotMinutes":-8.265482636377905,"ayanamsa":25.0688}},"calendars":{"vikram_samvat":2144,"vikram_samvatsara":"Raudra","saka_samvat":2009,"saka_samvatsara":"Plavaṅga","bengali_samvat":1494,"malayalam_era":1263,"nanakshahi_year":618,"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 Aṣṭamī · Vikram 2144 Raudra · Śaka 2009 Plavaṅga"},"festivals":[],"todays_walk":{"walk":{"id":"surya-walk","name":"Sūrya Walk","name_sanskrit":"सूर्य यात्रा","type":"graha","description":"Self-illumination + BG 4.1 (Sun-lineage of Gītā transmission).","step_count":6,"url":"/walk/surya-walk"},"reason":"Ravivāra (Sunday) — 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}]},"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 12, 2087 CE · Vṛndāvana · Vidhyamitra","description":"January 12, 2087 CE for Vṛndāvana: Śukla Aṣṭamī, sūryodaya 07:11, sūryāsta 17:44.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/vrindavan/2087-01-12","hreflang_alternates":{"en":"https://vidhyamitra.com/city/vrindavan/2087-01-12","sa":"https://sa.vidhyamitra.com/city/vrindavan/2087-01-12","hi":"https://hi.vidhyamitra.com/city/vrindavan/2087-01-12","x-default":"https://vidhyamitra.com/city/vrindavan/2087-01-12"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T10:39:20.783Z","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":"2026-06-01T10:39:20.783Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T10:39:20.783Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}