{"id":"vidhyamitra:city-day:rishikesh:2102-08-03:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2102-08-03","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2102-08-03","date_display":"August 3, 2102 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":2102,"month":8,"day":3,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2489013.770833,"kali_year":5204,"ahargana":1900548.2708,"sun":{"sidereal_longitude":104.3327,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":337.5271,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":20,"name":"Pañcamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pañcamī","elongation_degrees":233.1944,"elapsed_within_tithi_degrees":5.1944},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":2,"moon_longitude":337.5271,"elapsed_within_degrees":4.1938},"yoga":{"number":7,"name":"Sukarma","sum_longitude":81.8598},"karana":{"half_tithi_index":38,"name":"Kaulava"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"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":2102,"month":8,"day":3,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2489013.770833,"ahargana":1900548.2708,"kali_year":5204,"ayanamsa_lahiri":25.286,"grahas":{"sun":{"sidereal_longitude":105.117028,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":4},"retrograde":false},"moon":{"sidereal_longitude":340.378228,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":3},"retrograde":false,"latitude":3.8034},"mars":{"sidereal_longitude":138.78002800000002,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":130.180028,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":228.72092799999996,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":1},"retrograde":true},"venus":{"sidereal_longitude":88.05052799999999,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":197.498428,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":279.8065,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":99.8065,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","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":2102,"month":8,"day":3,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2489013.770833,"kali_year":5204,"ahargana":1900548.2708,"sun":{"sidereal_longitude":104.3327,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":337.5271,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":20,"name":"Pañcamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pañcamī","elongation_degrees":233.1944,"elapsed_within_tithi_degrees":5.1944},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":2,"moon_longitude":337.5271,"elapsed_within_degrees":4.1938},"yoga":{"number":7,"name":"Sukarma","sum_longitude":81.8598},"karana":{"half_tithi_index":38,"name":"Kaulava"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":3.803,"elongation":126.806},"lunar":{"type":"lunar","occurs":false,"moon_latitude":3.803,"opposition_distance":53.194}},"eclipse_window_40days":[{"offset_days":-19,"type":"solar","occurs":true,"moon_latitude":1.294,"elongation":2.229},{"offset_days":-4,"type":"lunar","occurs":true,"moon_latitude":0.063,"opposition_distance":0.292},{"offset_days":11,"type":"solar","occurs":true,"moon_latitude":-1.321,"elongation":1.503}]},"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":"05:36","sunsetLocal":"19:09","solarNoonLocal":"12:23","dayLengthHours":13.551956801427771,"dayLengthDisplay":"13 Hours 33 Mins 07 Secs","nightLengthDisplay":"10 Hours 26 Mins 53 Secs","moonriseLocal":"21:56","moonsetLocal":"10:12","rahuKala":{"name":"Rāhu Kāla","start":"14:04","end":"15:46","startHours":14.074136849451026,"endHours":15.768131449629498,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"05:36","end":"07:18","startHours":5.60416384855867,"endHours":7.298158448737142,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"09:00","end":"10:41","startHours":8.992153048915613,"endHours":10.686147649094085,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:46","end":"09:13","startHours":8.76628710222515,"endHours":9.218018995606077,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:10","end":"06:32","startHours":6.168828715284827,"endHours":6.530214229989568,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:56","end":"12:50","startHours":11.92841035589163,"endHours":12.831874142653481,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:48","end":"04:42","startHours":3.7972362750349675,"endHours":4.700700061796819,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:28","end":"05:36","startHours":4.474834115106356,"endHours":5.60416384855867,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:38","end":"15:33","startHours":14.638801716177184,"endHours":15.542265502939035,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:57","end":"19:21","startHours":18.956120649986442,"endHours":19.35612064998644,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:09","end":"19:43","startHours":19.15612064998644,"endHours":19.7207855167126,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:54","end":"20:39","startHours":18.90612064998644,"endHours":20.65612064998644,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:56","end":"00:50","startHours":23.92841035589163,"endHours":24.831874142653483,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"05:36","end":"07:18","startHours":5.60416384855867,"endHours":7.298158448737142,"quality":"auspicious"},{"name":"Roga","start":"07:18","end":"09:00","startHours":7.298158448737142,"endHours":8.992153048915613,"quality":"inauspicious"},{"name":"Udveg","start":"09:00","end":"10:41","startHours":8.992153048915613,"endHours":10.686147649094085,"quality":"inauspicious"},{"name":"Chala","start":"10:41","end":"12:23","startHours":10.686147649094085,"endHours":12.380142249272556,"quality":"neutral"},{"name":"Labha","start":"12:23","end":"14:04","startHours":12.380142249272556,"endHours":14.074136849451026,"quality":"auspicious"},{"name":"Amṛta","start":"14:04","end":"15:46","startHours":14.074136849451026,"endHours":15.768131449629498,"quality":"auspicious"},{"name":"Kāla","start":"15:46","end":"17:28","startHours":15.768131449629498,"endHours":17.46212604980797,"quality":"inauspicious"},{"name":"Śubha","start":"17:28","end":"19:09","startHours":17.46212604980797,"endHours":19.15612064998644,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"19:09","end":"20:28","startHours":19.15612064998644,"endHours":20.46212604980797,"quality":"auspicious"},{"name":"Kāla","start":"20:28","end":"21:46","startHours":20.46212604980797,"endHours":21.7681314496295,"quality":"inauspicious"},{"name":"Śubha","start":"21:46","end":"23:04","startHours":21.7681314496295,"endHours":23.074136849451026,"quality":"auspicious"},{"name":"Roga","start":"23:04","end":"00:23","startHours":23.074136849451026,"endHours":24.380142249272556,"quality":"inauspicious"},{"name":"Udveg","start":"00:23","end":"01:41","startHours":24.380142249272556,"endHours":25.686147649094085,"quality":"inauspicious"},{"name":"Chala","start":"01:41","end":"03:00","startHours":25.686147649094085,"endHours":26.99215304891561,"quality":"neutral"},{"name":"Labha","start":"03:00","end":"04:18","startHours":26.99215304891561,"endHours":28.29815844873714,"quality":"auspicious"},{"name":"Amṛta","start":"04:18","end":"05:36","startHours":28.29815844873714,"endHours":29.60416384855867,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:36","end":"06:36","startHours":5.60416384855867,"endHours":6.60416384855867,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"06:36","end":"07:36","startHours":6.60416384855867,"endHours":7.60416384855867,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"07:36","end":"08:36","startHours":7.60416384855867,"endHours":8.60416384855867,"planetary_lord":"Moon"},{"name":"Hora 4","start":"08:36","end":"09:36","startHours":8.60416384855867,"endHours":9.60416384855867,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"09:36","end":"10:36","startHours":9.60416384855867,"endHours":10.60416384855867,"planetary_lord":"Venus"},{"name":"Hora 6","start":"10:36","end":"11:36","startHours":10.60416384855867,"endHours":11.60416384855867,"planetary_lord":"Sun"},{"name":"Hora 7","start":"11:36","end":"12:36","startHours":11.60416384855867,"endHours":12.60416384855867,"planetary_lord":"Mars"},{"name":"Hora 8","start":"12:36","end":"13:36","startHours":12.60416384855867,"endHours":13.60416384855867,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"13:36","end":"14:36","startHours":13.60416384855867,"endHours":14.60416384855867,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"14:36","end":"15:36","startHours":14.60416384855867,"endHours":15.60416384855867,"planetary_lord":"Moon"},{"name":"Hora 11","start":"15:36","end":"16:36","startHours":15.60416384855867,"endHours":16.60416384855867,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"16:36","end":"17:36","startHours":16.60416384855867,"endHours":17.60416384855867,"planetary_lord":"Venus"},{"name":"Hora 13","start":"17:36","end":"18:36","startHours":17.60416384855867,"endHours":18.60416384855867,"planetary_lord":"Sun"},{"name":"Hora 14","start":"18:36","end":"19:36","startHours":18.60416384855867,"endHours":19.60416384855867,"planetary_lord":"Mars"},{"name":"Hora 15","start":"19:36","end":"20:36","startHours":19.60416384855867,"endHours":20.60416384855867,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"20:36","end":"21:36","startHours":20.60416384855867,"endHours":21.60416384855867,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"21:36","end":"22:36","startHours":21.60416384855867,"endHours":22.60416384855867,"planetary_lord":"Moon"},{"name":"Hora 18","start":"22:36","end":"23:36","startHours":22.60416384855867,"endHours":23.60416384855867,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"23:36","end":"00:36","startHours":23.60416384855867,"endHours":24.60416384855867,"planetary_lord":"Venus"},{"name":"Hora 20","start":"00:36","end":"01:36","startHours":24.60416384855867,"endHours":25.60416384855867,"planetary_lord":"Sun"},{"name":"Hora 21","start":"01:36","end":"02:36","startHours":25.60416384855867,"endHours":26.60416384855867,"planetary_lord":"Mars"},{"name":"Hora 22","start":"02:36","end":"03:36","startHours":26.60416384855867,"endHours":27.60416384855867,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"03:36","end":"04:36","startHours":27.60416384855867,"endHours":28.60416384855867,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"04:36","end":"05:36","startHours":28.60416384855867,"endHours":29.60416384855867,"planetary_lord":"Moon"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Revatī"],"unfavorable_nakshatras":["Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Citrā","Svātī","Viśākhā","Anurādhā","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā"],"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":"South (Dakṣiṇa)","chandraVasa":"South-West","rahuVasa":"North-West","anandadiYoga":{"name":"Padma","quality":"Auspicious"},"drikRitu":"Varṣā (Monsoon) (Drik)","vedicRitu":"Grīṣma (Summer)","drikAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":17.630357286954784,"eotMinutes":-5.878934956353266,"ayanamsa":25.286}},"calendars":{"vikram_samvat":2159,"vikram_samvatsara":"Yuva","saka_samvat":2024,"saka_samvatsara":"Dundubhi","bengali_samvat":1509,"malayalam_era":1278,"nanakshahi_year":633,"lunar_month":"Śrāvaṇa","lunar_month_paksha_full":"Śrāvaṇa Kṛṣṇa Pakṣa","solar_month":"Karkaṭa (Āḍi)","ritu":"Varṣā (Monsoon)","display_summary":"Śrāvaṇa Kṛṣṇa Pañcamī · Vikram 2159 Yuva · Śaka 2024 Dundubhi"},"festivals":[{"id":"karka-sankranti","name":"Karka Saṅkrānti (Dakṣiṇāyana)","name_sanskrit":"कर्क सङ्क्रान्ति","tradition":"Pan-Hindu","associated_deity":"Sūrya Bhagavān","significance":"Sun enters Cancer; Dakṣiṇāyana (south-going) begins. Devatā-rātri begins.","vrata":true,"detection":{"sun_rashi":"Karka"},"precedence":2}],"todays_walk":{"walk":{"id":"guru-walk","name":"Bṛhaspati Walk","name_sanskrit":"गुरु यात्रा","type":"graha","description":"Wisdom transmission + BG 4.34.","step_count":8,"url":"/walk/guru-walk"},"reason":"Guruvāra (Thursday) — 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 August 3, 2102 CE · Ṛṣikeśa · Vidhyamitra","description":"August 3, 2102 CE for Ṛṣikeśa: Kṛṣṇa Pañcamī, sūryodaya 05:36, sūryāsta 19:09.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2102-08-03","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2102-08-03","sa":"https://sa.vidhyamitra.com/city/rishikesh/2102-08-03","hi":"https://hi.vidhyamitra.com/city/rishikesh/2102-08-03","x-default":"https://vidhyamitra.com/city/rishikesh/2102-08-03"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-20T20:36:09.279Z","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":"2026-05-20T20:36:09.279Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-20T20:36:09.279Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}