{"id":"vidhyamitra:city-day:rishikesh:1817-05-20:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/1817-05-20","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1817-05-20","date_display":"May 20, 1817 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":1817,"month":5,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2384844.770833,"kali_year":4919,"ahargana":1796379.2708,"sun":{"sidereal_longitude":37.6797,"rashi":2,"rashi_name":"Vṛṣabha"},"moon":{"sidereal_longitude":82.4948,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":4,"name":"Caturthī","paksha":"Śukla","full_name":"Śukla Caturthī","elongation_degrees":44.815,"elapsed_within_tithi_degrees":8.815},"nakshatra":{"number":7,"name":"Punarvasu","pada":1,"moon_longitude":82.4948,"elapsed_within_degrees":2.4948},"yoga":{"number":10,"name":"Gaṇḍa","sum_longitude":120.1745},"karana":{"half_tithi_index":7,"name":"Viṣṭi"},"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":1817,"month":5,"day":20,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2384844.770833,"ahargana":1796379.2708,"kali_year":4919,"ayanamsa_lahiri":21.302,"grahas":{"sun":{"sidereal_longitude":37.314149999999984,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":79.22805,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":4},"retrograde":false,"latitude":3.0853},"mars":{"sidereal_longitude":338.2118499999999,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":62.12995000000001,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":227.80764999999997,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":1},"retrograde":true},"venus":{"sidereal_longitude":43.05464999999998,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":1},"retrograde":true},"saturn":{"sidereal_longitude":315.88514999999995,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":39.1814,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":219.1814,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","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":1817,"month":5,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2384844.770833,"kali_year":4919,"ahargana":1796379.2708,"sun":{"sidereal_longitude":37.6797,"rashi":2,"rashi_name":"Vṛṣabha"},"moon":{"sidereal_longitude":82.4948,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":4,"name":"Caturthī","paksha":"Śukla","full_name":"Śukla Caturthī","elongation_degrees":44.815,"elapsed_within_tithi_degrees":8.815},"nakshatra":{"number":7,"name":"Punarvasu","pada":1,"moon_longitude":82.4948,"elapsed_within_degrees":2.4948},"yoga":{"number":10,"name":"Gaṇḍa","sum_longitude":120.1745},"karana":{"half_tithi_index":7,"name":"Viṣṭi"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":3.085,"elongation":44.815},"lunar":{"type":"lunar","occurs":false,"moon_latitude":3.085,"opposition_distance":135.185}},"eclipse_window_40days":[{"offset_days":-4,"type":"solar","occurs":true,"moon_latitude":-0.618,"elongation":2.359}]},"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":"05:21","sunsetLocal":"19:06","solarNoonLocal":"12:13","dayLengthHours":13.749489060936554,"dayLengthDisplay":"13 Hours 44 Mins 58 Secs","nightLengthDisplay":"10 Hours 15 Mins 02 Secs","moonriseLocal":"08:01","moonsetLocal":"22:01","rahuKala":{"name":"Rāhu Kāla","start":"15:40","end":"17:23","startHours":15.659560381631053,"endHours":17.378246514248122,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"08:47","end":"10:30","startHours":8.784815851162776,"endHours":10.503501983779845,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:13","end":"13:56","startHours":12.222188116396914,"endHours":13.940874249013984,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:33","end":"09:01","startHours":8.555657700147165,"endHours":9.013974002178385,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"05:55","end":"06:17","startHours":5.9203389634676595,"endHours":6.2869920050926345,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:46","end":"12:41","startHours":11.763871814365697,"endHours":12.680504418428132,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:31","end":"04:26","startHours":3.5141783778037627,"endHours":4.430810981866199,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:12","end":"05:21","startHours":4.20165283085059,"endHours":5.3474435859286364,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:31","end":"15:26","startHours":14.513769626553007,"endHours":15.430402230615444,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:54","end":"19:18","startHours":18.896932646865192,"endHours":19.29693264686519,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:06","end":"19:40","startHours":19.09693264686519,"endHours":19.669828024404215,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:51","end":"20:36","startHours":18.84693264686519,"endHours":20.59693264686519,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:46","end":"00:41","startHours":23.763871814365697,"endHours":24.680504418428132,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"05:21","end":"07:04","startHours":5.3474435859286364,"endHours":7.066129718545706,"quality":"inauspicious"},{"name":"Udveg","start":"07:04","end":"08:47","startHours":7.066129718545706,"endHours":8.784815851162776,"quality":"inauspicious"},{"name":"Chala","start":"08:47","end":"10:30","startHours":8.784815851162776,"endHours":10.503501983779845,"quality":"neutral"},{"name":"Labha","start":"10:30","end":"12:13","startHours":10.503501983779845,"endHours":12.222188116396914,"quality":"auspicious"},{"name":"Amṛta","start":"12:13","end":"13:56","startHours":12.222188116396914,"endHours":13.940874249013984,"quality":"auspicious"},{"name":"Kāla","start":"13:56","end":"15:40","startHours":13.940874249013984,"endHours":15.659560381631053,"quality":"inauspicious"},{"name":"Śubha","start":"15:40","end":"17:23","startHours":15.659560381631053,"endHours":17.378246514248122,"quality":"auspicious"},{"name":"Roga","start":"17:23","end":"19:06","startHours":17.378246514248122,"endHours":19.09693264686519,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"19:06","end":"20:23","startHours":19.09693264686519,"endHours":20.378246514248122,"quality":"inauspicious"},{"name":"Śubha","start":"20:23","end":"21:40","startHours":20.378246514248122,"endHours":21.659560381631053,"quality":"auspicious"},{"name":"Roga","start":"21:40","end":"22:56","startHours":21.659560381631053,"endHours":22.940874249013984,"quality":"inauspicious"},{"name":"Udveg","start":"22:56","end":"00:13","startHours":22.940874249013984,"endHours":24.222188116396914,"quality":"inauspicious"},{"name":"Chala","start":"00:13","end":"01:30","startHours":24.222188116396914,"endHours":25.503501983779845,"quality":"neutral"},{"name":"Labha","start":"01:30","end":"02:47","startHours":25.503501983779845,"endHours":26.784815851162776,"quality":"auspicious"},{"name":"Amṛta","start":"02:47","end":"04:04","startHours":26.784815851162776,"endHours":28.066129718545707,"quality":"auspicious"},{"name":"Kāla","start":"04:04","end":"05:21","startHours":28.066129718545707,"endHours":29.347443585928637,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:21","end":"06:21","startHours":5.3474435859286364,"endHours":6.3474435859286364,"planetary_lord":"Mars"},{"name":"Hora 2","start":"06:21","end":"07:21","startHours":6.3474435859286364,"endHours":7.3474435859286364,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"07:21","end":"08:21","startHours":7.3474435859286364,"endHours":8.347443585928637,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"08:21","end":"09:21","startHours":8.347443585928637,"endHours":9.347443585928637,"planetary_lord":"Moon"},{"name":"Hora 5","start":"09:21","end":"10:21","startHours":9.347443585928637,"endHours":10.347443585928637,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"10:21","end":"11:21","startHours":10.347443585928637,"endHours":11.347443585928637,"planetary_lord":"Venus"},{"name":"Hora 7","start":"11:21","end":"12:21","startHours":11.347443585928637,"endHours":12.347443585928637,"planetary_lord":"Sun"},{"name":"Hora 8","start":"12:21","end":"13:21","startHours":12.347443585928637,"endHours":13.347443585928637,"planetary_lord":"Mars"},{"name":"Hora 9","start":"13:21","end":"14:21","startHours":13.347443585928637,"endHours":14.347443585928637,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"14:21","end":"15:21","startHours":14.347443585928637,"endHours":15.347443585928637,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"15:21","end":"16:21","startHours":15.347443585928637,"endHours":16.347443585928637,"planetary_lord":"Moon"},{"name":"Hora 12","start":"16:21","end":"17:21","startHours":16.347443585928637,"endHours":17.347443585928637,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"17:21","end":"18:21","startHours":17.347443585928637,"endHours":18.347443585928637,"planetary_lord":"Venus"},{"name":"Hora 14","start":"18:21","end":"19:21","startHours":18.347443585928637,"endHours":19.347443585928637,"planetary_lord":"Sun"},{"name":"Hora 15","start":"19:21","end":"20:21","startHours":19.347443585928637,"endHours":20.347443585928637,"planetary_lord":"Mars"},{"name":"Hora 16","start":"20:21","end":"21:21","startHours":20.347443585928637,"endHours":21.347443585928637,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"21:21","end":"22:21","startHours":21.347443585928637,"endHours":22.347443585928637,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"22:21","end":"23:21","startHours":22.347443585928637,"endHours":23.347443585928637,"planetary_lord":"Moon"},{"name":"Hora 19","start":"23:21","end":"00:21","startHours":23.347443585928637,"endHours":24.347443585928637,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"00:21","end":"01:21","startHours":24.347443585928637,"endHours":25.347443585928637,"planetary_lord":"Venus"},{"name":"Hora 21","start":"01:21","end":"02:21","startHours":25.347443585928637,"endHours":26.347443585928637,"planetary_lord":"Sun"},{"name":"Hora 22","start":"02:21","end":"03:21","startHours":26.347443585928637,"endHours":27.347443585928637,"planetary_lord":"Mars"},{"name":"Hora 23","start":"03:21","end":"04:21","startHours":27.347443585928637,"endHours":28.347443585928637,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"04:21","end":"05:21","startHours":28.347443585928637,"endHours":29.347443585928637,"planetary_lord":"Saturn"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Hasta","Citrā","Svātī","Viśākhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Mithuna","Siṃha","Vṛścika","Dhanu","Mīna"],"unfavorable_rashis":["Vṛṣabha","Karka","Kanyā","Tulā","Makara","Kumbha"]},"dishaShool":"North (Uttara)","chandraVasa":"South","rahuVasa":"North","anandadiYoga":{"name":"Lumba","quality":"Auspicious"},"tropicalRitu":"Vasanta (Spring)","vedicRitu":"Vasanta (Spring)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":19.84904919492421,"eotMinutes":3.5983130161851964,"ayanamsa":21.302}},"calendars":{"vikram_samvat":1874,"vikram_samvatsara":"Vikṛti","saka_samvat":1739,"saka_samvatsara":"Īśvara","bengali_samvat":1224,"malayalam_era":993,"nanakshahi_year":348,"lunar_month":"Jyeṣṭha","lunar_month_paksha_full":"Jyeṣṭha Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Jyeṣṭha","lunar_month_amanta":"Jyeṣṭha","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 Śukla Caturthī · Vikram 1874 Vikṛti · Śaka 1739 Īśvara"},"festivals":[{"id":"angarika-chaturthi","name":"Aṅgāraka Caturthī (Tuesday Caturthī)","name_sanskrit":"अङ्गारक चतुर्थी","tradition":"Pan-Hindu","associated_deity":"Gaṇeśa + Maṅgala","significance":"Tuesday-Caturthī (rare); supremely auspicious for Maṅgala-doṣa-nivāraṇa.","vrata":true,"detection":{"any_of":[{"tithi_number":4,"vara_name":"Maṅgalavāra (Tuesday)"},{"tithi_number":19,"vara_name":"Maṅgalavāra (Tuesday)"}]},"precedence":3},{"id":"vinayaka-chaturthi","name":"Vināyaka Caturthī (monthly)","name_sanskrit":"विनायक चतुर्थी","tradition":"Pan-Hindu","associated_deity":"Gaṇeśa","significance":"Monthly Śukla-pakṣa Caturthī; auspicious for new ventures.","vrata":true,"detection":{"tithi_number":4,"tithi_paksha":"Śukla"},"precedence":6}],"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":"Dedicated festival walk for Aṅgāraka Caturthī (Tuesday Caturthī) · Vināyaka Caturthī (monthly) is not live yet; 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 May 20, 1817 CE · Ṛṣikeśa · Vidhyamitra","description":"May 20, 1817 CE for Ṛṣikeśa: Śukla Caturthī, sūryodaya 05:21, sūryāsta 19:06.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/1817-05-20","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/1817-05-20","sa":"https://sa.vidhyamitra.com/city/rishikesh/1817-05-20","hi":"https://hi.vidhyamitra.com/city/rishikesh/1817-05-20","x-default":"https://vidhyamitra.com/city/rishikesh/1817-05-20"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-29T12:42:53.915Z","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":"2026-06-29T12:42:53.915Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-29T12:42:53.915Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"},"reader_local_antaryami":{"reader_geography":"Every reader enters from their own kṣetra anywhere on Bhūmi; no founder-city is the universal center.","purna_chain":["Goloka/Vraja Rādhā-Krishna","Vaikuṇṭha Lakṣmī-Nārāyaṇa","Mahāviṣṇu/Kāraṇodakaśāyī Viṣṇu","Garbhodakaśāyī Viṣṇu","Brahmā","Kṣīrodaka Paramātmā/Antaryāmī (Kṣīrodakaśāyī Viṣṇu)","Bhūmi","reader's own kṣetra anywhere on Bhūmi","exact reading kṣetra","Divyāṁśa-bhakta","chitta/vāṇī/aṅgulī","keyboard-silicon-pathways","Vidhyāmitra substrate","reader/seer","Krishna"],"antaryami_responsibility_formula":"Kṣīrodakaśāyī Viṣṇu = Paramātmā = Antaryāmī. Jīva desires. Prakṛti executes through guṇas. Paramātmā witnesses, permits, remembers, guides, and sustains. Bhagavān is the ultimate source.","source_anchors":[{"label":"BG 13.23","path":"/bhagavad-gita/13/23","meaning":"upadraṣṭā-anumantā · witness-permitter"},{"label":"BG 15.15","path":"/bhagavad-gita/15/15","meaning":"the Lord seated in every heart as memory, knowledge, and forgetting"},{"label":"BG 18.61","path":"/bhagavad-gita/18/61","meaning":"Īśvara seated in the heart of all beings"}],"nama_seal":"Hare Krishna Hare Krishna · Krishna Krishna Hare Hare · Hare Rama Hare Rama · Rama Rama Hare Hare"}}}