{"id":"vidhyamitra:city-day:rishikesh:1870-05-21:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/1870-05-21","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1870-05-21","date_display":"May 21, 1870 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":1870,"month":5,"day":21,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2404203.770833,"kali_year":4972,"ahargana":1815738.2708,"sun":{"sidereal_longitude":37.9528,"rashi":2,"rashi_name":"Vṛṣabha"},"moon":{"sidereal_longitude":291.6533,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":22,"name":"Saptamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Saptamī","elongation_degrees":253.7006,"elapsed_within_tithi_degrees":1.7006},"nakshatra":{"number":22,"name":"Śravaṇa","pada":4,"moon_longitude":291.6533,"elapsed_within_degrees":11.6533},"yoga":{"number":25,"name":"Brahma","sum_longitude":329.6061},"karana":{"half_tithi_index":42,"name":"Viṣṭi"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"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":1870,"month":5,"day":21,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2404203.770833,"ahargana":1815738.2708,"kali_year":4972,"ayanamsa_lahiri":22.0424,"grahas":{"sun":{"sidereal_longitude":37.71289300000001,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":293.53299300000003,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":1},"retrograde":false,"latitude":-1.4046},"mars":{"sidereal_longitude":24.462893000000008,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":57.786092999999994,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":2},"retrograde":true},"jupiter":{"sidereal_longitude":42.410293000000024,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":1},"retrograde":false},"venus":{"sidereal_longitude":354.244393,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":246.134993,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":2},"retrograde":true},"rahu":{"sidereal_longitude":93.4485,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":273.4485,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","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":1870,"month":5,"day":21,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2404203.770833,"kali_year":4972,"ahargana":1815738.2708,"sun":{"sidereal_longitude":37.9528,"rashi":2,"rashi_name":"Vṛṣabha"},"moon":{"sidereal_longitude":291.6533,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":22,"name":"Saptamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Saptamī","elongation_degrees":253.7006,"elapsed_within_tithi_degrees":1.7006},"nakshatra":{"number":22,"name":"Śravaṇa","pada":4,"moon_longitude":291.6533,"elapsed_within_degrees":11.6533},"yoga":{"number":25,"name":"Brahma","sum_longitude":329.6061},"karana":{"half_tithi_index":42,"name":"Viṣṭi"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-1.405,"elongation":106.299},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-1.405,"opposition_distance":73.701}},"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":"05:20","sunsetLocal":"19:07","solarNoonLocal":"12:13","dayLengthHours":13.771890886742277,"dayLengthDisplay":"13 Hours 46 Mins 19 Secs","nightLengthDisplay":"10 Hours 13 Mins 41 Secs","moonriseLocal":"23:52","moonsetLocal":"10:41","rahuKala":{"name":"Rāhu Kāla","start":"08:47","end":"10:30","startHours":8.780196981939795,"endHours":10.50168334278258,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"13:57","end":"15:40","startHours":13.944656064468152,"endHours":15.666142425310934,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"05:20","end":"07:04","startHours":5.337224260254227,"endHours":7.058710621097012,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:33","end":"09:01","startHours":8.550665467160758,"endHours":9.009728496718834,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"05:55","end":"06:17","startHours":5.911053047201822,"endHours":6.278303470848282,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:46","end":"12:41","startHours":11.76410667406729,"endHours":12.682232733183442,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:30","end":"04:25","startHours":3.5009721420219235,"endHours":4.419098201138075,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:11","end":"05:20","startHours":4.189566686359037,"endHours":5.337224260254227,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:31","end":"15:26","startHours":14.518484851415746,"endHours":15.436610910531897,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:55","end":"19:19","startHours":18.909115146996506,"endHours":19.309115146996504,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:07","end":"19:41","startHours":19.109115146996505,"endHours":19.6829439339441,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:52","end":"20:37","startHours":18.859115146996505,"endHours":20.609115146996505,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:46","end":"00:41","startHours":23.76410667406729,"endHours":24.682232733183444,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"05:20","end":"07:04","startHours":5.337224260254227,"endHours":7.058710621097012,"quality":"inauspicious"},{"name":"Śubha","start":"07:04","end":"08:47","startHours":7.058710621097012,"endHours":8.780196981939795,"quality":"auspicious"},{"name":"Roga","start":"08:47","end":"10:30","startHours":8.780196981939795,"endHours":10.50168334278258,"quality":"inauspicious"},{"name":"Udveg","start":"10:30","end":"12:13","startHours":10.50168334278258,"endHours":12.223169703625366,"quality":"inauspicious"},{"name":"Chala","start":"12:13","end":"13:57","startHours":12.223169703625366,"endHours":13.944656064468152,"quality":"neutral"},{"name":"Labha","start":"13:57","end":"15:40","startHours":13.944656064468152,"endHours":15.666142425310934,"quality":"auspicious"},{"name":"Amṛta","start":"15:40","end":"17:23","startHours":15.666142425310934,"endHours":17.38762878615372,"quality":"auspicious"},{"name":"Kāla","start":"17:23","end":"19:07","startHours":17.38762878615372,"endHours":19.109115146996505,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"19:07","end":"20:23","startHours":19.109115146996505,"endHours":20.38762878615372,"quality":"auspicious"},{"name":"Amṛta","start":"20:23","end":"21:40","startHours":20.38762878615372,"endHours":21.666142425310937,"quality":"auspicious"},{"name":"Kāla","start":"21:40","end":"22:57","startHours":21.666142425310937,"endHours":22.944656064468152,"quality":"inauspicious"},{"name":"Śubha","start":"22:57","end":"00:13","startHours":22.944656064468152,"endHours":24.223169703625366,"quality":"auspicious"},{"name":"Roga","start":"00:13","end":"01:30","startHours":24.223169703625366,"endHours":25.50168334278258,"quality":"inauspicious"},{"name":"Udveg","start":"01:30","end":"02:47","startHours":25.50168334278258,"endHours":26.780196981939795,"quality":"inauspicious"},{"name":"Chala","start":"02:47","end":"04:04","startHours":26.780196981939795,"endHours":28.058710621097013,"quality":"neutral"},{"name":"Labha","start":"04:04","end":"05:20","startHours":28.058710621097013,"endHours":29.337224260254228,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:20","end":"06:20","startHours":5.337224260254227,"endHours":6.337224260254227,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"06:20","end":"07:20","startHours":6.337224260254227,"endHours":7.337224260254227,"planetary_lord":"Moon"},{"name":"Hora 3","start":"07:20","end":"08:20","startHours":7.337224260254227,"endHours":8.337224260254228,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"08:20","end":"09:20","startHours":8.337224260254228,"endHours":9.337224260254228,"planetary_lord":"Venus"},{"name":"Hora 5","start":"09:20","end":"10:20","startHours":9.337224260254228,"endHours":10.337224260254228,"planetary_lord":"Sun"},{"name":"Hora 6","start":"10:20","end":"11:20","startHours":10.337224260254228,"endHours":11.337224260254228,"planetary_lord":"Mars"},{"name":"Hora 7","start":"11:20","end":"12:20","startHours":11.337224260254228,"endHours":12.337224260254228,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"12:20","end":"13:20","startHours":12.337224260254228,"endHours":13.337224260254228,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"13:20","end":"14:20","startHours":13.337224260254228,"endHours":14.337224260254228,"planetary_lord":"Moon"},{"name":"Hora 10","start":"14:20","end":"15:20","startHours":14.337224260254228,"endHours":15.337224260254228,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"15:20","end":"16:20","startHours":15.337224260254228,"endHours":16.337224260254228,"planetary_lord":"Venus"},{"name":"Hora 12","start":"16:20","end":"17:20","startHours":16.337224260254228,"endHours":17.337224260254228,"planetary_lord":"Sun"},{"name":"Hora 13","start":"17:20","end":"18:20","startHours":17.337224260254228,"endHours":18.337224260254228,"planetary_lord":"Mars"},{"name":"Hora 14","start":"18:20","end":"19:20","startHours":18.337224260254228,"endHours":19.337224260254228,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"19:20","end":"20:20","startHours":19.337224260254228,"endHours":20.337224260254228,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"20:20","end":"21:20","startHours":20.337224260254228,"endHours":21.337224260254228,"planetary_lord":"Moon"},{"name":"Hora 17","start":"21:20","end":"22:20","startHours":21.337224260254228,"endHours":22.337224260254228,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"22:20","end":"23:20","startHours":22.337224260254228,"endHours":23.337224260254228,"planetary_lord":"Venus"},{"name":"Hora 19","start":"23:20","end":"00:20","startHours":23.337224260254228,"endHours":24.337224260254228,"planetary_lord":"Sun"},{"name":"Hora 20","start":"00:20","end":"01:20","startHours":24.337224260254228,"endHours":25.337224260254228,"planetary_lord":"Mars"},{"name":"Hora 21","start":"01:20","end":"02:20","startHours":25.337224260254228,"endHours":26.337224260254228,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"02:20","end":"03:20","startHours":26.337224260254228,"endHours":27.337224260254228,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"03:20","end":"04:20","startHours":27.337224260254228,"endHours":28.337224260254228,"planetary_lord":"Moon"},{"name":"Hora 24","start":"04:20","end":"05:20","startHours":28.337224260254228,"endHours":29.337224260254228,"planetary_lord":"Mercury"}],"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":"East (Pūrva)","chandraVasa":"South-East","rahuVasa":"East","anandadiYoga":{"name":"Kāṇa","quality":"Inauspicious"},"tropicalRitu":"Vasanta (Spring)","vedicRitu":"Vasanta (Spring)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":20.09598764201467,"eotMinutes":3.539417782478063,"ayanamsa":22.0424}},"calendars":{"vikram_samvat":1927,"vikram_samvatsara":"Subhānu","saka_samvat":1792,"saka_samvatsara":"Pramoda","bengali_samvat":1277,"malayalam_era":1046,"nanakshahi_year":401,"lunar_month":"Jyeṣṭha","lunar_month_paksha_full":"Jyeṣṭha Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Jyeṣṭha","lunar_month_amanta":"Vaiśākha","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Vṛṣabha (Vaikāsi)","ritu":"Grīṣma (Summer)","display_summary":"Jyeṣṭha Kṛṣṇa Saptamī · Vikram 1927 Subhānu · Śaka 1792 Pramoda"},"festivals":[],"todays_walk":{"walk":{"id":"shani-walk","name":"Śani Walk","name_sanskrit":"शनि यात्रा","type":"graha","description":"Tapas + endurance + BG 17.14-19.","step_count":7,"url":"/walk/shani-walk"},"reason":"Śanivāra (Saturday) — 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 May 21, 1870 CE · Ṛṣikeśa · Vidhyamitra","description":"May 21, 1870 CE for Ṛṣikeśa: Kṛṣṇa Saptamī, sūryodaya 05:20, sūryāsta 19:07.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/1870-05-21","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/1870-05-21","sa":"https://sa.vidhyamitra.com/city/rishikesh/1870-05-21","hi":"https://hi.vidhyamitra.com/city/rishikesh/1870-05-21","x-default":"https://vidhyamitra.com/city/rishikesh/1870-05-21"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T05:44:17.158Z","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":"2026-06-01T05:44:17.158Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T05:44:17.158Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}