{"id":"vidhyamitra:city-day:rishikesh:2107-10-21:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2107-10-21","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2107-10-21","date_display":"October 21, 2107 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":2107,"month":10,"day":21,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2490918.770833,"kali_year":5209,"ahargana":1902453.2708,"sun":{"sidereal_longitude":180.6913,"rashi":7,"rashi_name":"Tulā"},"moon":{"sidereal_longitude":239.7045,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":5,"name":"Pañcamī","paksha":"Śukla","full_name":"Śukla Pañcamī","elongation_degrees":59.0131,"elapsed_within_tithi_degrees":11.0131},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4,"moon_longitude":239.7045,"elapsed_within_degrees":13.0378},"yoga":{"number":5,"name":"Śobhana","sum_longitude":60.3958},"karana":{"half_tithi_index":9,"name":"Bālava"},"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":2107,"month":10,"day":21,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2490918.770833,"ahargana":1902453.2708,"kali_year":5209,"ayanamsa_lahiri":25.3589,"grahas":{"sun":{"sidereal_longitude":181.67904299999998,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":240.64334299999996,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":1},"retrograde":false,"latitude":3.9285},"mars":{"sidereal_longitude":121.86184300000002,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":162.46434299999999,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":54.53124300000002,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":1},"retrograde":true},"venus":{"sidereal_longitude":204.44534299999998,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":255.6763430000001,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":178.8705,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":358.8705,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":4},"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":2107,"month":10,"day":21,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2490918.770833,"kali_year":5209,"ahargana":1902453.2708,"sun":{"sidereal_longitude":180.6913,"rashi":7,"rashi_name":"Tulā"},"moon":{"sidereal_longitude":239.7045,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":5,"name":"Pañcamī","paksha":"Śukla","full_name":"Śukla Pañcamī","elongation_degrees":59.0131,"elapsed_within_tithi_degrees":11.0131},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4,"moon_longitude":239.7045,"elapsed_within_degrees":13.0378},"yoga":{"number":5,"name":"Śobhana","sum_longitude":60.3958},"karana":{"half_tithi_index":9,"name":"Bālava"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":3.928,"elongation":59.013},"lunar":{"type":"lunar","occurs":false,"moon_latitude":3.928,"opposition_distance":120.987}},"eclipse_window_40days":[{"offset_days":11,"type":"lunar","occurs":true,"moon_latitude":-1.173,"opposition_distance":1.733}]},"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":"06:22","sunsetLocal":"17:41","solarNoonLocal":"12:01","dayLengthHours":11.315940579210146,"dayLengthDisplay":"11 Hours 18 Mins 57 Secs","nightLengthDisplay":"12 Hours 41 Mins 03 Secs","moonriseLocal":"10:52","moonsetLocal":"21:02","rahuKala":{"name":"Rāhu Kāla","start":"10:36","end":"12:01","startHours":10.603843751486986,"endHours":12.018336323888255,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"14:51","end":"16:16","startHours":14.84732146869079,"endHours":16.26181404109206,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"07:46","end":"09:11","startHours":7.77485860668445,"endHours":9.189351179085719,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:00","end":"09:23","startHours":9.000752169432216,"endHours":9.37795018873922,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:50","end":"07:08","startHours":6.831863558416938,"endHours":7.1336219738625415,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:38","end":"12:24","startHours":11.641138304581249,"endHours":12.39553434319526,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:51","end":"05:36","startHours":4.851573957055162,"endHours":5.605969995669172,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:25","end":"06:22","startHours":5.417370986015669,"endHours":6.360366034283182,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:54","end":"14:40","startHours":13.904326420423278,"endHours":14.658722459037287,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:29","end":"17:53","startHours":17.47630661349333,"endHours":17.876306613493327,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:41","end":"18:09","startHours":17.676306613493328,"endHours":18.147804137627084,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:26","end":"19:11","startHours":17.426306613493328,"endHours":19.176306613493328,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:38","end":"00:24","startHours":23.64113830458125,"endHours":24.395534343195262,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Chala","start":"06:22","end":"07:46","startHours":6.360366034283182,"endHours":7.77485860668445,"quality":"neutral"},{"name":"Labha","start":"07:46","end":"09:11","startHours":7.77485860668445,"endHours":9.189351179085719,"quality":"auspicious"},{"name":"Amṛta","start":"09:11","end":"10:36","startHours":9.189351179085719,"endHours":10.603843751486986,"quality":"auspicious"},{"name":"Kāla","start":"10:36","end":"12:01","startHours":10.603843751486986,"endHours":12.018336323888255,"quality":"inauspicious"},{"name":"Śubha","start":"12:01","end":"13:26","startHours":12.018336323888255,"endHours":13.432828896289523,"quality":"auspicious"},{"name":"Roga","start":"13:26","end":"14:51","startHours":13.432828896289523,"endHours":14.84732146869079,"quality":"inauspicious"},{"name":"Udveg","start":"14:51","end":"16:16","startHours":14.84732146869079,"endHours":16.26181404109206,"quality":"inauspicious"},{"name":"Chala","start":"16:16","end":"17:41","startHours":16.26181404109206,"endHours":17.676306613493328,"quality":"neutral"}],"nightChoghadiyas":[{"name":"Roga","start":"17:41","end":"19:16","startHours":17.676306613493328,"endHours":19.26181404109206,"quality":"inauspicious"},{"name":"Udveg","start":"19:16","end":"20:51","startHours":19.26181404109206,"endHours":20.84732146869079,"quality":"inauspicious"},{"name":"Chala","start":"20:51","end":"22:26","startHours":20.84732146869079,"endHours":22.43282889628952,"quality":"neutral"},{"name":"Labha","start":"22:26","end":"00:01","startHours":22.43282889628952,"endHours":24.018336323888256,"quality":"auspicious"},{"name":"Amṛta","start":"00:01","end":"01:36","startHours":24.018336323888256,"endHours":25.603843751486984,"quality":"auspicious"},{"name":"Kāla","start":"01:36","end":"03:11","startHours":25.603843751486984,"endHours":27.18935117908572,"quality":"inauspicious"},{"name":"Śubha","start":"03:11","end":"04:46","startHours":27.18935117908572,"endHours":28.77485860668445,"quality":"auspicious"},{"name":"Roga","start":"04:46","end":"06:22","startHours":28.77485860668445,"endHours":30.36036603428318,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:22","end":"07:22","startHours":6.360366034283182,"endHours":7.360366034283182,"planetary_lord":"Venus"},{"name":"Hora 2","start":"07:22","end":"08:22","startHours":7.360366034283182,"endHours":8.360366034283182,"planetary_lord":"Sun"},{"name":"Hora 3","start":"08:22","end":"09:22","startHours":8.360366034283182,"endHours":9.360366034283182,"planetary_lord":"Mars"},{"name":"Hora 4","start":"09:22","end":"10:22","startHours":9.360366034283182,"endHours":10.360366034283182,"planetary_lord":"Jupiter"},{"name":"Hora 5","start":"10:22","end":"11:22","startHours":10.360366034283182,"endHours":11.360366034283182,"planetary_lord":"Saturn"},{"name":"Hora 6","start":"11:22","end":"12:22","startHours":11.360366034283182,"endHours":12.360366034283182,"planetary_lord":"Moon"},{"name":"Hora 7","start":"12:22","end":"13:22","startHours":12.360366034283182,"endHours":13.360366034283182,"planetary_lord":"Mercury"},{"name":"Hora 8","start":"13:22","end":"14:22","startHours":13.360366034283182,"endHours":14.360366034283182,"planetary_lord":"Venus"},{"name":"Hora 9","start":"14:22","end":"15:22","startHours":14.360366034283182,"endHours":15.360366034283182,"planetary_lord":"Sun"},{"name":"Hora 10","start":"15:22","end":"16:22","startHours":15.360366034283182,"endHours":16.36036603428318,"planetary_lord":"Mars"},{"name":"Hora 11","start":"16:22","end":"17:22","startHours":16.36036603428318,"endHours":17.36036603428318,"planetary_lord":"Jupiter"},{"name":"Hora 12","start":"17:22","end":"18:22","startHours":17.36036603428318,"endHours":18.36036603428318,"planetary_lord":"Saturn"},{"name":"Hora 13","start":"18:22","end":"19:22","startHours":18.36036603428318,"endHours":19.36036603428318,"planetary_lord":"Moon"},{"name":"Hora 14","start":"19:22","end":"20:22","startHours":19.36036603428318,"endHours":20.36036603428318,"planetary_lord":"Mercury"},{"name":"Hora 15","start":"20:22","end":"21:22","startHours":20.36036603428318,"endHours":21.36036603428318,"planetary_lord":"Venus"},{"name":"Hora 16","start":"21:22","end":"22:22","startHours":21.36036603428318,"endHours":22.36036603428318,"planetary_lord":"Sun"},{"name":"Hora 17","start":"22:22","end":"23:22","startHours":22.36036603428318,"endHours":23.36036603428318,"planetary_lord":"Mars"},{"name":"Hora 18","start":"23:22","end":"00:22","startHours":23.36036603428318,"endHours":24.36036603428318,"planetary_lord":"Jupiter"},{"name":"Hora 19","start":"00:22","end":"01:22","startHours":24.36036603428318,"endHours":25.36036603428318,"planetary_lord":"Saturn"},{"name":"Hora 20","start":"01:22","end":"02:22","startHours":25.36036603428318,"endHours":26.36036603428318,"planetary_lord":"Moon"},{"name":"Hora 21","start":"02:22","end":"03:22","startHours":26.36036603428318,"endHours":27.36036603428318,"planetary_lord":"Mercury"},{"name":"Hora 22","start":"03:22","end":"04:22","startHours":27.36036603428318,"endHours":28.36036603428318,"planetary_lord":"Venus"},{"name":"Hora 23","start":"04:22","end":"05:22","startHours":28.36036603428318,"endHours":29.36036603428318,"planetary_lord":"Sun"},{"name":"Hora 24","start":"05:22","end":"06:22","startHours":29.36036603428318,"endHours":30.36036603428318,"planetary_lord":"Mars"}],"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","Mithuna","Kanyā","Tulā","Dhanu","Kumbha"],"unfavorable_rashis":["Meṣa","Karka","Siṃha","Vṛścika","Makara","Mīna"]},"dishaShool":"West (Paścim)","chandraVasa":"East","rahuVasa":"South-East","anandadiYoga":{"name":"Mudgara","quality":"Inauspicious"},"tropicalRitu":"Śarad (Autumn)","vedicRitu":"Śarad (Autumn)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-10.416442665769216,"eotMinutes":15.829420566704727,"ayanamsa":25.3589}},"calendars":{"vikram_samvat":2164,"vikram_samvatsara":"Vikrama","saka_samvat":2029,"saka_samvatsara":"Prabhava","bengali_samvat":1514,"malayalam_era":1283,"nanakshahi_year":638,"lunar_month":"Āśvina","lunar_month_paksha_full":"Āśvina Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Āśvina","lunar_month_amanta":"Āśvina","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Tulā (Aippasi)","ritu":"Śarad (Autumn)","display_summary":"Āśvina Śukla Pañcamī · Vikram 2164 Vikrama · Śaka 2029 Prabhava"},"festivals":[],"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":"-3137-10-20","event":"Karṇa-Vadha (Mahābhārata Day 17)","chart_id":"karna","shared_marker":"same Jyeṣṭhā","url":"/day/-3137-10-20","relevance":0.5}]},"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 October 21, 2107 CE · Ṛṣikeśa · Vidhyamitra","description":"October 21, 2107 CE for Ṛṣikeśa: Śukla Pañcamī, sūryodaya 06:22, sūryāsta 17:41.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2107-10-21","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2107-10-21","sa":"https://sa.vidhyamitra.com/city/rishikesh/2107-10-21","hi":"https://hi.vidhyamitra.com/city/rishikesh/2107-10-21","x-default":"https://vidhyamitra.com/city/rishikesh/2107-10-21"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T02:40:55.107Z","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":"2026-05-31T02:40:55.107Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T02:40:55.107Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}