{"id":"vidhyamitra:city-day:rishikesh:2105-05-20:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2105-05-20","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2105-05-20","date_display":"May 20, 2105 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":2105,"month":5,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2490034.770833,"kali_year":5207,"ahargana":1901569.2708,"sun":{"sidereal_longitude":33.3569,"rashi":2,"rashi_name":"Vṛṣabha"},"moon":{"sidereal_longitude":110.737,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":7,"name":"Saptamī","paksha":"Śukla","full_name":"Śukla Saptamī","elongation_degrees":77.3801,"elapsed_within_tithi_degrees":5.3801},"nakshatra":{"number":9,"name":"Āśleṣā","pada":2,"moon_longitude":110.737,"elapsed_within_degrees":4.0703},"yoga":{"number":11,"name":"Vṛddhi","sum_longitude":144.0939},"karana":{"half_tithi_index":12,"name":"Gara"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"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":2105,"month":5,"day":20,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2490034.770833,"ahargana":1901569.2708,"kali_year":5207,"ayanamsa_lahiri":25.3251,"grahas":{"sun":{"sidereal_longitude":33.64211799999998,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":113.901118,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":3},"retrograde":false,"latitude":-4.0786},"mars":{"sidereal_longitude":4.9065180000000055,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":39.08161799999999,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":335.350518,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":1},"retrograde":false},"venus":{"sidereal_longitude":346.473018,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":236.88541800000007,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4},"retrograde":true},"rahu":{"sidereal_longitude":225.709,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":45.709,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","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":2105,"month":5,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2490034.770833,"kali_year":5207,"ahargana":1901569.2708,"sun":{"sidereal_longitude":33.3569,"rashi":2,"rashi_name":"Vṛṣabha"},"moon":{"sidereal_longitude":110.737,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":7,"name":"Saptamī","paksha":"Śukla","full_name":"Śukla Saptamī","elongation_degrees":77.3801,"elapsed_within_tithi_degrees":5.3801},"nakshatra":{"number":9,"name":"Āśleṣā","pada":2,"moon_longitude":110.737,"elapsed_within_degrees":4.0703},"yoga":{"number":11,"name":"Vṛddhi","sum_longitude":144.0939},"karana":{"half_tithi_index":12,"name":"Gara"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.079,"elongation":77.38},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.079,"opposition_distance":102.62}},"eclipse_window_40days":[{"offset_days":-6,"type":"solar","occurs":true,"moon_latitude":1.476,"elongation":0.745},{"offset_days":9,"type":"lunar","occurs":true,"moon_latitude":-0.088,"opposition_distance":2.153}]},"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":13.756459326375364,"dayLengthDisplay":"13 Hours 45 Mins 23 Secs","nightLengthDisplay":"10 Hours 14 Mins 37 Secs","moonriseLocal":"10:56","moonsetLocal":"00:13","rahuKala":{"name":"Rāhu Kāla","start":"12:13","end":"13:57","startHours":12.222188116396914,"endHours":13.941745532193835,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:04","end":"08:47","startHours":7.063515869006154,"endHours":8.783073284803073,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"10:30","end":"12:13","startHours":10.502630700599994,"endHours":12.222188116396914,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:33","end":"09:01","startHours":8.553798962696819,"endHours":9.01234760690933,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"05:55","end":"06:17","startHours":5.917144258474874,"endHours":6.2839831738448835,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:46","end":"12:41","startHours":11.763639472184403,"endHours":12.680736760609426,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:31","end":"04:26","startHours":3.5097638763591847,"endHours":4.426861164784209,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:12","end":"05:21","startHours":4.1975868426779535,"endHours":5.3439584532092335,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:31","end":"15:26","startHours":14.514931337459476,"endHours":15.4320286258845,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:54","end":"19:18","startHours":18.900417779584597,"endHours":19.300417779584595,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:06","end":"19:40","startHours":19.100417779584596,"endHours":19.673603584850238,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:51","end":"20:36","startHours":18.850417779584596,"endHours":20.600417779584596,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:46","end":"00:41","startHours":23.7636394721844,"endHours":24.680736760609427,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"05:21","end":"07:04","startHours":5.3439584532092335,"endHours":7.063515869006154,"quality":"auspicious"},{"name":"Amṛta","start":"07:04","end":"08:47","startHours":7.063515869006154,"endHours":8.783073284803073,"quality":"auspicious"},{"name":"Kāla","start":"08:47","end":"10:30","startHours":8.783073284803073,"endHours":10.502630700599994,"quality":"inauspicious"},{"name":"Śubha","start":"10:30","end":"12:13","startHours":10.502630700599994,"endHours":12.222188116396914,"quality":"auspicious"},{"name":"Roga","start":"12:13","end":"13:57","startHours":12.222188116396914,"endHours":13.941745532193835,"quality":"inauspicious"},{"name":"Udveg","start":"13:57","end":"15:40","startHours":13.941745532193835,"endHours":15.661302947990755,"quality":"inauspicious"},{"name":"Chala","start":"15:40","end":"17:23","startHours":15.661302947990755,"endHours":17.380860363787676,"quality":"neutral"},{"name":"Labha","start":"17:23","end":"19:06","startHours":17.380860363787676,"endHours":19.100417779584596,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"19:06","end":"20:23","startHours":19.100417779584596,"endHours":20.380860363787676,"quality":"inauspicious"},{"name":"Chala","start":"20:23","end":"21:40","startHours":20.380860363787676,"endHours":21.661302947990755,"quality":"neutral"},{"name":"Labha","start":"21:40","end":"22:57","startHours":21.661302947990755,"endHours":22.941745532193835,"quality":"auspicious"},{"name":"Amṛta","start":"22:57","end":"00:13","startHours":22.941745532193835,"endHours":24.222188116396914,"quality":"auspicious"},{"name":"Kāla","start":"00:13","end":"01:30","startHours":24.222188116396914,"endHours":25.502630700599994,"quality":"inauspicious"},{"name":"Śubha","start":"01:30","end":"02:47","startHours":25.502630700599994,"endHours":26.783073284803073,"quality":"auspicious"},{"name":"Roga","start":"02:47","end":"04:04","startHours":26.783073284803073,"endHours":28.063515869006153,"quality":"inauspicious"},{"name":"Udveg","start":"04:04","end":"05:21","startHours":28.063515869006153,"endHours":29.343958453209233,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:21","end":"06:21","startHours":5.3439584532092335,"endHours":6.3439584532092335,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"06:21","end":"07:21","startHours":6.3439584532092335,"endHours":7.3439584532092335,"planetary_lord":"Venus"},{"name":"Hora 3","start":"07:21","end":"08:21","startHours":7.3439584532092335,"endHours":8.343958453209233,"planetary_lord":"Sun"},{"name":"Hora 4","start":"08:21","end":"09:21","startHours":8.343958453209233,"endHours":9.343958453209233,"planetary_lord":"Mars"},{"name":"Hora 5","start":"09:21","end":"10:21","startHours":9.343958453209233,"endHours":10.343958453209233,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"10:21","end":"11:21","startHours":10.343958453209233,"endHours":11.343958453209233,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"11:21","end":"12:21","startHours":11.343958453209233,"endHours":12.343958453209233,"planetary_lord":"Moon"},{"name":"Hora 8","start":"12:21","end":"13:21","startHours":12.343958453209233,"endHours":13.343958453209233,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"13:21","end":"14:21","startHours":13.343958453209233,"endHours":14.343958453209233,"planetary_lord":"Venus"},{"name":"Hora 10","start":"14:21","end":"15:21","startHours":14.343958453209233,"endHours":15.343958453209233,"planetary_lord":"Sun"},{"name":"Hora 11","start":"15:21","end":"16:21","startHours":15.343958453209233,"endHours":16.343958453209233,"planetary_lord":"Mars"},{"name":"Hora 12","start":"16:21","end":"17:21","startHours":16.343958453209233,"endHours":17.343958453209233,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"17:21","end":"18:21","startHours":17.343958453209233,"endHours":18.343958453209233,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"18:21","end":"19:21","startHours":18.343958453209233,"endHours":19.343958453209233,"planetary_lord":"Moon"},{"name":"Hora 15","start":"19:21","end":"20:21","startHours":19.343958453209233,"endHours":20.343958453209233,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"20:21","end":"21:21","startHours":20.343958453209233,"endHours":21.343958453209233,"planetary_lord":"Venus"},{"name":"Hora 17","start":"21:21","end":"22:21","startHours":21.343958453209233,"endHours":22.343958453209233,"planetary_lord":"Sun"},{"name":"Hora 18","start":"22:21","end":"23:21","startHours":22.343958453209233,"endHours":23.343958453209233,"planetary_lord":"Mars"},{"name":"Hora 19","start":"23:21","end":"00:21","startHours":23.343958453209233,"endHours":24.343958453209233,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"00:21","end":"01:21","startHours":24.343958453209233,"endHours":25.343958453209233,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"01:21","end":"02:21","startHours":25.343958453209233,"endHours":26.343958453209233,"planetary_lord":"Moon"},{"name":"Hora 22","start":"02:21","end":"03:21","startHours":26.343958453209233,"endHours":27.343958453209233,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"03:21","end":"04:21","startHours":27.343958453209233,"endHours":28.343958453209233,"planetary_lord":"Venus"},{"name":"Hora 24","start":"04:21","end":"05:21","startHours":28.343958453209233,"endHours":29.343958453209233,"planetary_lord":"Sun"}],"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":["Meṣa","Vṛṣabha","Karka","Kanyā","Dhanu","Makara"],"unfavorable_rashis":["Mithuna","Siṃha","Tulā","Vṛścika","Kumbha","Mīna"]},"dishaShool":"North (Uttara)","chandraVasa":"South-West","rahuVasa":"South-West","anandadiYoga":{"name":"Amṛta","quality":"Auspicious"},"tropicalRitu":"Vasanta (Spring)","vedicRitu":"Vasanta (Spring)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":19.925987553392215,"eotMinutes":3.5983130161851964,"ayanamsa":25.3251}},"calendars":{"vikram_samvat":2162,"vikram_samvatsara":"Bahudhānya","saka_samvat":2027,"saka_samvatsara":"Krodhana","bengali_samvat":1512,"malayalam_era":1281,"nanakshahi_year":636,"lunar_month":"Vaiśākha","lunar_month_paksha_full":"Vaiśākha Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Vaiśākha","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":"Vasanta (Spring)","display_summary":"Vaiśākha Śukla Saptamī · Vikram 2162 Bahudhānya · Śaka 2027 Krodhana"},"festivals":[{"id":"ganga-saptami","name":"Gaṅgā Saptamī","name_sanskrit":"गङ्गा सप्तमी","tradition":"Pan-Hindu","associated_deity":"Devī Gaṅgā","significance":"Gaṅgā Devī's descent to Brahma-loka before her earth-descent.","vrata":true,"detection":{"tithi_number":7,"tithi_paksha":"Śukla","lunar_month":"Vaiśākha"},"precedence":4}],"todays_walk":{"walk":{"id":"budha-walk","name":"Budha Walk","name_sanskrit":"बुध यात्रा","type":"graha","description":"Discrimination + BG 2.41 (vyavasāyātmikā buddhi).","step_count":6,"url":"/walk/budha-walk"},"reason":"Budhavāra (Wednesday) — 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, 2105 CE · Ṛṣikeśa · Vidhyamitra","description":"May 20, 2105 CE for Ṛṣikeśa: Śukla Saptamī, sūryodaya 05:21, sūryāsta 19:06.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2105-05-20","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2105-05-20","sa":"https://sa.vidhyamitra.com/city/rishikesh/2105-05-20","hi":"https://hi.vidhyamitra.com/city/rishikesh/2105-05-20","x-default":"https://vidhyamitra.com/city/rishikesh/2105-05-20"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T11:55:54.810Z","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":"2026-05-31T11:55:54.810Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T11:55:54.810Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}