{"id":"vidhyamitra:city-day:rishikesh:2087-12-30:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2087-12-30","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2087-12-30","date_display":"December 30, 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":12,"day":30,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2483684.770833,"kali_year":5189,"ahargana":1895219.2708,"sun":{"sidereal_longitude":252.9781,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":312.519,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":5,"name":"Pañcamī","paksha":"Śukla","full_name":"Śukla Pañcamī","elongation_degrees":59.5409,"elapsed_within_tithi_degrees":11.5409},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":2,"moon_longitude":312.519,"elapsed_within_degrees":5.8524},"yoga":{"number":16,"name":"Siddhi","sum_longitude":205.4972},"karana":{"half_tithi_index":9,"name":"Bālava"},"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":12,"day":30,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2483684.770833,"ahargana":1895219.2708,"kali_year":5189,"ayanamsa_lahiri":25.0822,"grahas":{"sun":{"sidereal_longitude":253.44873499999994,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":310.3120349999999,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":2},"retrograde":false,"latitude":4.2184},"mars":{"sidereal_longitude":246.65893499999993,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":270.7251349999999,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":171.22693500000003,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":4},"retrograde":false},"venus":{"sidereal_longitude":218.554935,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":11.126235000000008,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":202.1626,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":22.1626,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":3},"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":12,"day":30,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2483684.770833,"kali_year":5189,"ahargana":1895219.2708,"sun":{"sidereal_longitude":252.9781,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":312.519,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":5,"name":"Pañcamī","paksha":"Śukla","full_name":"Śukla Pañcamī","elongation_degrees":59.5409,"elapsed_within_tithi_degrees":11.5409},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":2,"moon_longitude":312.519,"elapsed_within_degrees":5.8524},"yoga":{"number":16,"name":"Siddhi","sum_longitude":205.4972},"karana":{"half_tithi_index":9,"name":"Bālava"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.218,"elongation":59.541},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.218,"opposition_distance":120.459}},"eclipse_window_40days":[]},"city":{"slug":"rishikesh","name":"Ṛṣikeśa","lat":30.0869,"lon":78.2676,"tz_offset_hours":5.5,"state":"Uttarakhand","country":"IN","tier":"tirtha"},"tier2":{"city":{"slug":"rishikesh","name":"Ṛṣikeśa","lat":30.0869,"lon":78.2676,"tz_offset_hours":5.5,"state":"Uttarakhand","country":"IN","tier":"tirtha"},"sunriseLocal":"07:13","sunsetLocal":"17:27","solarNoonLocal":"12:20","dayLengthHours":10.230272933266292,"dayLengthDisplay":"10 Hours 13 Mins 49 Secs","nightLengthDisplay":"13 Hours 46 Mins 11 Secs","moonriseLocal":"10:27","moonsetLocal":"21:48","rahuKala":{"name":"Rāhu Kāla","start":"14:53","end":"16:10","startHours":14.88644980832111,"endHours":16.165233924979397,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"09:46","end":"11:03","startHours":9.771313341687964,"endHours":11.05009745834625,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:20","end":"13:36","startHours":12.328881575004537,"endHours":13.607665691662824,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:36","end":"09:57","startHours":9.600808792800192,"endHours":9.941817890575736,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:38","end":"07:55","startHours":7.64000648059082,"endHours":7.912813758811255,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:59","end":"12:40","startHours":11.987872477228994,"endHours":12.669890672780081,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:51","end":"06:32","startHours":5.849708717269219,"endHours":6.5317269128203055,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:22","end":"07:13","startHours":6.361222363932534,"endHours":7.213745108371391,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:02","end":"14:43","startHours":14.033927063882253,"endHours":14.715945259433338,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:15","end":"17:39","startHours":17.244018041637684,"endHours":17.644018041637683,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:27","end":"17:52","startHours":17.444018041637683,"endHours":17.870279413857112,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:12","end":"18:57","startHours":17.194018041637683,"endHours":18.944018041637683,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:59","end":"00:40","startHours":23.987872477228994,"endHours":24.66989067278008,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"07:13","end":"08:30","startHours":7.213745108371391,"endHours":8.492529225029678,"quality":"inauspicious"},{"name":"Udveg","start":"08:30","end":"09:46","startHours":8.492529225029678,"endHours":9.771313341687964,"quality":"inauspicious"},{"name":"Chala","start":"09:46","end":"11:03","startHours":9.771313341687964,"endHours":11.05009745834625,"quality":"neutral"},{"name":"Labha","start":"11:03","end":"12:20","startHours":11.05009745834625,"endHours":12.328881575004537,"quality":"auspicious"},{"name":"Amṛta","start":"12:20","end":"13:36","startHours":12.328881575004537,"endHours":13.607665691662824,"quality":"auspicious"},{"name":"Kāla","start":"13:36","end":"14:53","startHours":13.607665691662824,"endHours":14.88644980832111,"quality":"inauspicious"},{"name":"Śubha","start":"14:53","end":"16:10","startHours":14.88644980832111,"endHours":16.165233924979397,"quality":"auspicious"},{"name":"Roga","start":"16:10","end":"17:27","startHours":16.165233924979397,"endHours":17.444018041637683,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"17:27","end":"19:10","startHours":17.444018041637683,"endHours":19.165233924979397,"quality":"inauspicious"},{"name":"Śubha","start":"19:10","end":"20:53","startHours":19.165233924979397,"endHours":20.88644980832111,"quality":"auspicious"},{"name":"Roga","start":"20:53","end":"22:36","startHours":20.88644980832111,"endHours":22.607665691662824,"quality":"inauspicious"},{"name":"Udveg","start":"22:36","end":"00:20","startHours":22.607665691662824,"endHours":24.328881575004537,"quality":"inauspicious"},{"name":"Chala","start":"00:20","end":"02:03","startHours":24.328881575004537,"endHours":26.05009745834625,"quality":"neutral"},{"name":"Labha","start":"02:03","end":"03:46","startHours":26.05009745834625,"endHours":27.771313341687964,"quality":"auspicious"},{"name":"Amṛta","start":"03:46","end":"05:30","startHours":27.771313341687964,"endHours":29.492529225029678,"quality":"auspicious"},{"name":"Kāla","start":"05:30","end":"07:13","startHours":29.492529225029678,"endHours":31.21374510837139,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"07:13","end":"08:13","startHours":7.213745108371391,"endHours":8.213745108371391,"planetary_lord":"Mars"},{"name":"Hora 2","start":"08:13","end":"09:13","startHours":8.213745108371391,"endHours":9.213745108371391,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"09:13","end":"10:13","startHours":9.213745108371391,"endHours":10.213745108371391,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"10:13","end":"11:13","startHours":10.213745108371391,"endHours":11.213745108371391,"planetary_lord":"Moon"},{"name":"Hora 5","start":"11:13","end":"12:13","startHours":11.213745108371391,"endHours":12.213745108371391,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"12:13","end":"13:13","startHours":12.213745108371391,"endHours":13.213745108371391,"planetary_lord":"Venus"},{"name":"Hora 7","start":"13:13","end":"14:13","startHours":13.213745108371391,"endHours":14.213745108371391,"planetary_lord":"Sun"},{"name":"Hora 8","start":"14:13","end":"15:13","startHours":14.213745108371391,"endHours":15.213745108371391,"planetary_lord":"Mars"},{"name":"Hora 9","start":"15:13","end":"16:13","startHours":15.213745108371391,"endHours":16.21374510837139,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"16:13","end":"17:13","startHours":16.21374510837139,"endHours":17.21374510837139,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"17:13","end":"18:13","startHours":17.21374510837139,"endHours":18.21374510837139,"planetary_lord":"Moon"},{"name":"Hora 12","start":"18:13","end":"19:13","startHours":18.21374510837139,"endHours":19.21374510837139,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"19:13","end":"20:13","startHours":19.21374510837139,"endHours":20.21374510837139,"planetary_lord":"Venus"},{"name":"Hora 14","start":"20:13","end":"21:13","startHours":20.21374510837139,"endHours":21.21374510837139,"planetary_lord":"Sun"},{"name":"Hora 15","start":"21:13","end":"22:13","startHours":21.21374510837139,"endHours":22.21374510837139,"planetary_lord":"Mars"},{"name":"Hora 16","start":"22:13","end":"23:13","startHours":22.21374510837139,"endHours":23.21374510837139,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"23:13","end":"00:13","startHours":23.21374510837139,"endHours":24.21374510837139,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"00:13","end":"01:13","startHours":24.21374510837139,"endHours":25.21374510837139,"planetary_lord":"Moon"},{"name":"Hora 19","start":"01:13","end":"02:13","startHours":25.21374510837139,"endHours":26.21374510837139,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"02:13","end":"03:13","startHours":26.21374510837139,"endHours":27.21374510837139,"planetary_lord":"Venus"},{"name":"Hora 21","start":"03:13","end":"04:13","startHours":27.21374510837139,"endHours":28.21374510837139,"planetary_lord":"Sun"},{"name":"Hora 22","start":"04:13","end":"05:13","startHours":28.21374510837139,"endHours":29.21374510837139,"planetary_lord":"Mars"},{"name":"Hora 23","start":"05:13","end":"06:13","startHours":29.21374510837139,"endHours":30.21374510837139,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"06:13","end":"07:13","startHours":30.21374510837139,"endHours":31.21374510837139,"planetary_lord":"Saturn"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Punarvasu","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Uttara Phalgunī","Hasta","Citrā","Svātī","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"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":"North (Uttara)","chandraVasa":"South","rahuVasa":"North","anandadiYoga":{"name":"Prajāpati","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":-23.161980418222356,"eotMinutes":-2.803294500272213,"ayanamsa":25.0822}},"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 Pañcamī · 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":"rishikesh"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga December 30, 2087 CE · Ṛṣikeśa · Vidhyamitra","description":"December 30, 2087 CE for Ṛṣikeśa: Śukla Pañcamī, sūryodaya 07:13, sūryāsta 17:27.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2087-12-30","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2087-12-30","sa":"https://sa.vidhyamitra.com/city/rishikesh/2087-12-30","hi":"https://hi.vidhyamitra.com/city/rishikesh/2087-12-30","x-default":"https://vidhyamitra.com/city/rishikesh/2087-12-30"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-30T23:59:02.587Z","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":"2026-05-30T23:59:02.587Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-30T23:59:02.587Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}