{"id":"vidhyamitra:city-day:noida:2087-01-07:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/noida/2087-01-07","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2087-01-07","date_display":"January 7, 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":7,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2483327.770833,"kali_year":5188,"ahargana":1894862.2708,"sun":{"sidereal_longitude":261.4689,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":287.118,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":3,"name":"Tṛtīyā","paksha":"Śukla","full_name":"Śukla Tṛtīyā","elongation_degrees":25.6491,"elapsed_within_tithi_degrees":1.6491},"nakshatra":{"number":22,"name":"Śravaṇa","pada":3,"moon_longitude":287.118,"elapsed_within_degrees":7.118},"yoga":{"number":15,"name":"Vajra","sum_longitude":188.5869},"karana":{"half_tithi_index":4,"name":"Taitila"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"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":7,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2483327.770833,"ahargana":1894862.2708,"kali_year":5188,"ayanamsa_lahiri":25.0686,"grahas":{"sun":{"sidereal_longitude":261.86287500000003,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":288.235275,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":3},"retrograde":false,"latitude":4.1115},"mars":{"sidereal_longitude":65.398075,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":273.744375,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":142.90777500000002,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":3},"retrograde":false},"venus":{"sidereal_longitude":283.9384749999999,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":357.819575,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":221.0782,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":41.0782,"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":7,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2483327.770833,"kali_year":5188,"ahargana":1894862.2708,"sun":{"sidereal_longitude":261.4689,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":287.118,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":3,"name":"Tṛtīyā","paksha":"Śukla","full_name":"Śukla Tṛtīyā","elongation_degrees":25.6491,"elapsed_within_tithi_degrees":1.6491},"nakshatra":{"number":22,"name":"Śravaṇa","pada":3,"moon_longitude":287.118,"elapsed_within_degrees":7.118},"yoga":{"number":15,"name":"Vajra","sum_longitude":188.5869},"karana":{"half_tithi_index":4,"name":"Taitila"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.112,"elongation":25.649},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.112,"opposition_distance":154.351}},"eclipse_window_40days":[{"offset_days":-18,"type":"lunar","occurs":true,"moon_latitude":-1.44,"opposition_distance":2.26}]},"city":{"slug":"noida","name":"Noida, Uttar Pradesh","lat":28.5355,"lon":77.391,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tier-1"},"tier2":{"city":{"slug":"noida","name":"Noida, Uttar Pradesh","lat":28.5355,"lon":77.391,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tier-1"},"sunriseLocal":"07:14","sunsetLocal":"17:39","solarNoonLocal":"12:27","dayLengthHours":10.416261986638986,"dayLengthDisplay":"10 Hours 24 Mins 59 Secs","nightLengthDisplay":"13 Hours 35 Mins 01 Secs","moonriseLocal":"08:47","moonsetLocal":"19:37","rahuKala":{"name":"Rāhu Kāla","start":"15:03","end":"16:21","startHours":15.049533401783407,"endHours":16.35156615011328,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"09:50","end":"11:09","startHours":9.841402408463914,"endHours":11.143435156793785,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:27","end":"13:45","startHours":12.44546790512366,"endHours":13.747500653453532,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:40","end":"10:01","startHours":9.66779804201993,"endHours":10.015006774907896,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:40","end":"07:57","startHours":7.671347827914124,"endHours":7.9491148142244965,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:06","end":"12:48","startHours":12.098259172235695,"endHours":12.792676638011626,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:51","end":"06:33","startHours":5.848501980252301,"endHours":6.542919446028234,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:22","end":"07:14","startHours":6.369315079584251,"endHours":7.237336911804166,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:11","end":"14:53","startHours":14.18151156956349,"endHours":14.875929035339423,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:27","end":"17:51","startHours":17.453598898443154,"endHours":17.853598898443153,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:39","end":"18:05","startHours":17.653598898443153,"endHours":18.08760981455311,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:24","end":"19:09","startHours":17.403598898443153,"endHours":19.153598898443153,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:06","end":"00:48","startHours":24.098259172235693,"endHours":24.792676638011628,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"07:14","end":"08:32","startHours":7.237336911804166,"endHours":8.539369660134039,"quality":"inauspicious"},{"name":"Udveg","start":"08:32","end":"09:50","startHours":8.539369660134039,"endHours":9.841402408463914,"quality":"inauspicious"},{"name":"Chala","start":"09:50","end":"11:09","startHours":9.841402408463914,"endHours":11.143435156793785,"quality":"neutral"},{"name":"Labha","start":"11:09","end":"12:27","startHours":11.143435156793785,"endHours":12.44546790512366,"quality":"auspicious"},{"name":"Amṛta","start":"12:27","end":"13:45","startHours":12.44546790512366,"endHours":13.747500653453532,"quality":"auspicious"},{"name":"Kāla","start":"13:45","end":"15:03","startHours":13.747500653453532,"endHours":15.049533401783407,"quality":"inauspicious"},{"name":"Śubha","start":"15:03","end":"16:21","startHours":15.049533401783407,"endHours":16.35156615011328,"quality":"auspicious"},{"name":"Roga","start":"16:21","end":"17:39","startHours":16.35156615011328,"endHours":17.653598898443153,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"17:39","end":"19:21","startHours":17.653598898443153,"endHours":19.35156615011328,"quality":"inauspicious"},{"name":"Śubha","start":"19:21","end":"21:03","startHours":19.35156615011328,"endHours":21.049533401783407,"quality":"auspicious"},{"name":"Roga","start":"21:03","end":"22:45","startHours":21.049533401783407,"endHours":22.747500653453535,"quality":"inauspicious"},{"name":"Udveg","start":"22:45","end":"00:27","startHours":22.747500653453535,"endHours":24.44546790512366,"quality":"inauspicious"},{"name":"Chala","start":"00:27","end":"02:09","startHours":24.44546790512366,"endHours":26.143435156793785,"quality":"neutral"},{"name":"Labha","start":"02:09","end":"03:50","startHours":26.143435156793785,"endHours":27.841402408463914,"quality":"auspicious"},{"name":"Amṛta","start":"03:50","end":"05:32","startHours":27.841402408463914,"endHours":29.539369660134042,"quality":"auspicious"},{"name":"Kāla","start":"05:32","end":"07:14","startHours":29.539369660134042,"endHours":31.237336911804167,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"07:14","end":"08:14","startHours":7.237336911804166,"endHours":8.237336911804167,"planetary_lord":"Mars"},{"name":"Hora 2","start":"08:14","end":"09:14","startHours":8.237336911804167,"endHours":9.237336911804167,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"09:14","end":"10:14","startHours":9.237336911804167,"endHours":10.237336911804167,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"10:14","end":"11:14","startHours":10.237336911804167,"endHours":11.237336911804167,"planetary_lord":"Moon"},{"name":"Hora 5","start":"11:14","end":"12:14","startHours":11.237336911804167,"endHours":12.237336911804167,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"12:14","end":"13:14","startHours":12.237336911804167,"endHours":13.237336911804167,"planetary_lord":"Venus"},{"name":"Hora 7","start":"13:14","end":"14:14","startHours":13.237336911804167,"endHours":14.237336911804167,"planetary_lord":"Sun"},{"name":"Hora 8","start":"14:14","end":"15:14","startHours":14.237336911804167,"endHours":15.237336911804167,"planetary_lord":"Mars"},{"name":"Hora 9","start":"15:14","end":"16:14","startHours":15.237336911804167,"endHours":16.237336911804167,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"16:14","end":"17:14","startHours":16.237336911804167,"endHours":17.237336911804167,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"17:14","end":"18:14","startHours":17.237336911804167,"endHours":18.237336911804167,"planetary_lord":"Moon"},{"name":"Hora 12","start":"18:14","end":"19:14","startHours":18.237336911804167,"endHours":19.237336911804167,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"19:14","end":"20:14","startHours":19.237336911804167,"endHours":20.237336911804167,"planetary_lord":"Venus"},{"name":"Hora 14","start":"20:14","end":"21:14","startHours":20.237336911804167,"endHours":21.237336911804167,"planetary_lord":"Sun"},{"name":"Hora 15","start":"21:14","end":"22:14","startHours":21.237336911804167,"endHours":22.237336911804167,"planetary_lord":"Mars"},{"name":"Hora 16","start":"22:14","end":"23:14","startHours":22.237336911804167,"endHours":23.237336911804167,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"23:14","end":"00:14","startHours":23.237336911804167,"endHours":24.237336911804167,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"00:14","end":"01:14","startHours":24.237336911804167,"endHours":25.237336911804167,"planetary_lord":"Moon"},{"name":"Hora 19","start":"01:14","end":"02:14","startHours":25.237336911804167,"endHours":26.237336911804167,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"02:14","end":"03:14","startHours":26.237336911804167,"endHours":27.237336911804167,"planetary_lord":"Venus"},{"name":"Hora 21","start":"03:14","end":"04:14","startHours":27.237336911804167,"endHours":28.237336911804167,"planetary_lord":"Sun"},{"name":"Hora 22","start":"04:14","end":"05:14","startHours":28.237336911804167,"endHours":29.237336911804167,"planetary_lord":"Mars"},{"name":"Hora 23","start":"05:14","end":"06:14","startHours":29.237336911804167,"endHours":30.237336911804167,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"06:14","end":"07:14","startHours":30.237336911804167,"endHours":31.237336911804167,"planetary_lord":"Saturn"}],"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":["Mithuna","Karka","Tulā","Vṛścika","Makara","Mīna"],"unfavorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Kanyā","Dhanu","Kumbha"]},"dishaShool":"North (Uttara)","chandraVasa":"South-East","rahuVasa":"North","anandadiYoga":{"name":"Kāladaṇḍa","quality":"Inauspicious"},"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":-22.36417698197404,"eotMinutes":-6.292074307419696,"ayanamsa":25.0686}},"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 Tṛtīyā · Vikram 2144 Raudra · Śaka 2009 Plavaṅga"},"festivals":[],"todays_walk":{"walk":{"id":"mangala-walk","name":"Maṅgala Walk","name_sanskrit":"मङ्गल यात्रा","type":"graha","description":"Right action + BG 2.31-38 (kṣatriya-dharma).","step_count":7,"url":"/walk/mangala-walk"},"reason":"Maṅgalavāra (Tuesday) — its presiding graha's walk."},"cosmic_resonances":[]},"validity":{"eternal":false,"location_specific":"noida"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga January 7, 2087 CE · Noida, Uttar Pradesh · Vidhyamitra","description":"January 7, 2087 CE for Noida, Uttar Pradesh: Śukla Tṛtīyā, sūryodaya 07:14, sūryāsta 17:39.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/noida/2087-01-07","hreflang_alternates":{"en":"https://vidhyamitra.com/city/noida/2087-01-07","sa":"https://sa.vidhyamitra.com/city/noida/2087-01-07","hi":"https://hi.vidhyamitra.com/city/noida/2087-01-07","x-default":"https://vidhyamitra.com/city/noida/2087-01-07"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T22:48:17.972Z","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":"2026-06-01T22:48:17.972Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T22:48:17.972Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}