{"id":"vidhyamitra:city-day:rishikesh:2031-05-21:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2031-05-21","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2031-05-21","date_display":"May 21, 2031 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":2031,"month":5,"day":21,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2463007.770833,"kali_year":5133,"ahargana":1874542.2708,"sun":{"sidereal_longitude":35.4114,"rashi":2,"rashi_name":"Vṛṣabha"},"moon":{"sidereal_longitude":33.9259,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":30,"name":"Amāvasyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Amāvasyā","elongation_degrees":358.5145,"elapsed_within_tithi_degrees":10.5145},"nakshatra":{"number":3,"name":"Kṛttikā","pada":3,"moon_longitude":33.9259,"elapsed_within_degrees":7.2592},"yoga":{"number":6,"name":"Atigaṇḍa","sum_longitude":69.3373},"karana":{"half_tithi_index":59,"name":"Nāga"},"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":2031,"month":5,"day":21,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2463007.770833,"ahargana":1874542.2708,"kali_year":5133,"ayanamsa_lahiri":24.2914,"grahas":{"sun":{"sidereal_longitude":35.535447999999974,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":32.61134800000002,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":2},"retrograde":false,"latitude":0.2982},"mars":{"sidereal_longitude":193.33444800000007,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":3},"retrograde":true},"mercury":{"sidereal_longitude":15.305948,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":242.81304799999998,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":1},"retrograde":true},"venus":{"sidereal_longitude":79.98044800000002,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":46.261847999999986,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":217.7296,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":37.7296,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","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":2031,"month":5,"day":21,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2463007.770833,"kali_year":5133,"ahargana":1874542.2708,"sun":{"sidereal_longitude":35.4114,"rashi":2,"rashi_name":"Vṛṣabha"},"moon":{"sidereal_longitude":33.9259,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":30,"name":"Amāvasyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Amāvasyā","elongation_degrees":358.5145,"elapsed_within_tithi_degrees":10.5145},"nakshatra":{"number":3,"name":"Kṛttikā","pada":3,"moon_longitude":33.9259,"elapsed_within_degrees":7.2592},"yoga":{"number":6,"name":"Atigaṇḍa","sum_longitude":69.3373},"karana":{"half_tithi_index":59,"name":"Nāga"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":true,"moon_latitude":0.298,"elongation":1.486},"lunar":{"type":"lunar","occurs":false,"moon_latitude":0.298,"opposition_distance":178.514}},"eclipse_window_40days":[{"offset_days":-14,"type":"lunar","occurs":true,"moon_latitude":-1.488,"opposition_distance":2.834},{"offset_days":0,"type":"solar","occurs":true,"moon_latitude":0.298,"elongation":1.486}]},"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":13.773277124634099,"dayLengthDisplay":"13 Hours 46 Mins 24 Secs","nightLengthDisplay":"10 Hours 13 Mins 36 Secs","moonriseLocal":"05:12","moonsetLocal":"18:52","rahuKala":{"name":"Rāhu Kāla","start":"12:13","end":"13:57","startHours":12.223169703625366,"endHours":13.944829344204628,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:03","end":"08:47","startHours":7.058190781887579,"endHours":8.779850422466842,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"10:30","end":"12:13","startHours":10.501510063046105,"endHours":12.223169703625366,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:33","end":"09:01","startHours":8.550295803722939,"endHours":9.009405041210744,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"05:55","end":"06:17","startHours":5.910417688168071,"endHours":6.277705078158314,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:46","end":"12:41","startHours":11.764060466137563,"endHours":12.68227894111317,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:30","end":"04:25","startHours":3.5000941913571038,"endHours":4.41831266633271,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:11","end":"05:20","startHours":4.188758047588808,"endHours":5.336531141308317,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:31","end":"15:26","startHours":14.518715891064383,"endHours":15.43693436603999,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:55","end":"19:19","startHours":18.909808265942416,"endHours":19.309808265942415,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:07","end":"19:41","startHours":19.109808265942416,"endHours":19.68369481280217,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:52","end":"20:37","startHours":18.859808265942416,"endHours":20.609808265942416,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:46","end":"00:41","startHours":23.764060466137565,"endHours":24.682278941113168,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"05:20","end":"07:03","startHours":5.336531141308317,"endHours":7.058190781887579,"quality":"auspicious"},{"name":"Amṛta","start":"07:03","end":"08:47","startHours":7.058190781887579,"endHours":8.779850422466842,"quality":"auspicious"},{"name":"Kāla","start":"08:47","end":"10:30","startHours":8.779850422466842,"endHours":10.501510063046105,"quality":"inauspicious"},{"name":"Śubha","start":"10:30","end":"12:13","startHours":10.501510063046105,"endHours":12.223169703625366,"quality":"auspicious"},{"name":"Roga","start":"12:13","end":"13:57","startHours":12.223169703625366,"endHours":13.944829344204628,"quality":"inauspicious"},{"name":"Udveg","start":"13:57","end":"15:40","startHours":13.944829344204628,"endHours":15.666488984783891,"quality":"inauspicious"},{"name":"Chala","start":"15:40","end":"17:23","startHours":15.666488984783891,"endHours":17.388148625363154,"quality":"neutral"},{"name":"Labha","start":"17:23","end":"19:07","startHours":17.388148625363154,"endHours":19.109808265942416,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"19:07","end":"20:23","startHours":19.109808265942416,"endHours":20.388148625363154,"quality":"inauspicious"},{"name":"Chala","start":"20:23","end":"21:40","startHours":20.388148625363154,"endHours":21.66648898478389,"quality":"neutral"},{"name":"Labha","start":"21:40","end":"22:57","startHours":21.66648898478389,"endHours":22.944829344204628,"quality":"auspicious"},{"name":"Amṛta","start":"22:57","end":"00:13","startHours":22.944829344204628,"endHours":24.223169703625366,"quality":"auspicious"},{"name":"Kāla","start":"00:13","end":"01:30","startHours":24.223169703625366,"endHours":25.501510063046105,"quality":"inauspicious"},{"name":"Śubha","start":"01:30","end":"02:47","startHours":25.501510063046105,"endHours":26.779850422466843,"quality":"auspicious"},{"name":"Roga","start":"02:47","end":"04:03","startHours":26.779850422466843,"endHours":28.05819078188758,"quality":"inauspicious"},{"name":"Udveg","start":"04:03","end":"05:20","startHours":28.05819078188758,"endHours":29.336531141308317,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:20","end":"06:20","startHours":5.336531141308317,"endHours":6.336531141308317,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"06:20","end":"07:20","startHours":6.336531141308317,"endHours":7.336531141308317,"planetary_lord":"Venus"},{"name":"Hora 3","start":"07:20","end":"08:20","startHours":7.336531141308317,"endHours":8.336531141308317,"planetary_lord":"Sun"},{"name":"Hora 4","start":"08:20","end":"09:20","startHours":8.336531141308317,"endHours":9.336531141308317,"planetary_lord":"Mars"},{"name":"Hora 5","start":"09:20","end":"10:20","startHours":9.336531141308317,"endHours":10.336531141308317,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"10:20","end":"11:20","startHours":10.336531141308317,"endHours":11.336531141308317,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"11:20","end":"12:20","startHours":11.336531141308317,"endHours":12.336531141308317,"planetary_lord":"Moon"},{"name":"Hora 8","start":"12:20","end":"13:20","startHours":12.336531141308317,"endHours":13.336531141308317,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"13:20","end":"14:20","startHours":13.336531141308317,"endHours":14.336531141308317,"planetary_lord":"Venus"},{"name":"Hora 10","start":"14:20","end":"15:20","startHours":14.336531141308317,"endHours":15.336531141308317,"planetary_lord":"Sun"},{"name":"Hora 11","start":"15:20","end":"16:20","startHours":15.336531141308317,"endHours":16.336531141308317,"planetary_lord":"Mars"},{"name":"Hora 12","start":"16:20","end":"17:20","startHours":16.336531141308317,"endHours":17.336531141308317,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"17:20","end":"18:20","startHours":17.336531141308317,"endHours":18.336531141308317,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"18:20","end":"19:20","startHours":18.336531141308317,"endHours":19.336531141308317,"planetary_lord":"Moon"},{"name":"Hora 15","start":"19:20","end":"20:20","startHours":19.336531141308317,"endHours":20.336531141308317,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"20:20","end":"21:20","startHours":20.336531141308317,"endHours":21.336531141308317,"planetary_lord":"Venus"},{"name":"Hora 17","start":"21:20","end":"22:20","startHours":21.336531141308317,"endHours":22.336531141308317,"planetary_lord":"Sun"},{"name":"Hora 18","start":"22:20","end":"23:20","startHours":22.336531141308317,"endHours":23.336531141308317,"planetary_lord":"Mars"},{"name":"Hora 19","start":"23:20","end":"00:20","startHours":23.336531141308317,"endHours":24.336531141308317,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"00:20","end":"01:20","startHours":24.336531141308317,"endHours":25.336531141308317,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"01:20","end":"02:20","startHours":25.336531141308317,"endHours":26.336531141308317,"planetary_lord":"Moon"},{"name":"Hora 22","start":"02:20","end":"03:20","startHours":26.336531141308317,"endHours":27.336531141308317,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"03:20","end":"04:20","startHours":27.336531141308317,"endHours":28.336531141308317,"planetary_lord":"Venus"},{"name":"Hora 24","start":"04:20","end":"05:20","startHours":28.336531141308317,"endHours":29.336531141308317,"planetary_lord":"Sun"}],"taraBala":{"favorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Hasta","Citrā","Svātī","Viśākhā","Anurādhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Karka","Tulā","Vṛścika","Kumbha","Mīna"],"unfavorable_rashis":["Meṣa","Mithuna","Siṃha","Kanyā","Dhanu","Makara"]},"dishaShool":"North (Uttara)","chandraVasa":"South-East","rahuVasa":"South-West","anandadiYoga":{"name":"Lumba","quality":"Auspicious"},"drikRitu":"Vasanta (Spring)","vedicRitu":"Vasanta (Spring)","drikAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":20.111236359347238,"eotMinutes":3.539417782478063,"ayanamsa":24.2914}},"calendars":{"vikram_samvat":2088,"vikram_samvatsara":"Raktākṣī","saka_samvat":1953,"saka_samvatsara":"Virodhakṛt","bengali_samvat":1438,"malayalam_era":1207,"nanakshahi_year":562,"lunar_month":"Jyeṣṭha","lunar_month_paksha_full":"Jyeṣṭha Kṛṣṇa Pakṣa","solar_month":"Vṛṣabha (Vaikāsi)","ritu":"Grīṣma (Summer)","display_summary":"Jyeṣṭha Kṛṣṇa Amāvasyā · Vikram 2088 Raktākṣī · Śaka 1953 Virodhakṛt"},"festivals":[{"id":"vat-savitri-amavasya","name":"Vaṭa Sāvitrī Amāvasyā","name_sanskrit":"वट सावित्री अमावस्या","tradition":"Pan-Hindu","associated_deity":"Sāvitrī Devī","significance":"Sāvitrī's redemption of Satyavān from Yama; pati-vrata observance.","vrata":true,"detection":{"tithi_number":30,"tithi_paksha":"Kṛṣṇa","lunar_month":"Jyeṣṭha"},"precedence":2,"sources":["Mahābhārata, Vana Parva — Sāvitrī Upākhyāna"]},{"id":"vrishabha-sankranti","name":"Vṛṣabha Saṅkrānti","name_sanskrit":"वृषभ सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Taurus.","vrata":false,"detection":{"sun_rashi":"Vṛṣabha"},"precedence":5}],"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":[{"historical_date":"-3137-10-04","event":"Mahābhārata Day 1 (Bhagavad Gītā delivered)","chart_id":"krishna","shared_marker":"same Kṛttikā","url":"/day/-3137-10-04","relevance":0.5},{"historical_date":"-3137-10-20","event":"Karṇa-Vadha (Mahābhārata Day 17)","chart_id":"karna","shared_marker":"same Kṛṣṇa Amāvasyā","url":"/day/-3137-10-20","relevance":0.5},{"historical_date":"-3137-12-25","event":"Bhīṣma's Mahaprasthan","chart_id":"bhishma","shared_marker":"same Kṛttikā","url":"/day/-3137-12-25","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 May 21, 2031 CE · Ṛṣikeśa · Vidhyamitra","description":"May 21, 2031 CE for Ṛṣikeśa: Kṛṣṇa Amāvasyā, sūryodaya 05:20, sūryāsta 19:07.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2031-05-21","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2031-05-21","sa":"https://sa.vidhyamitra.com/city/rishikesh/2031-05-21","hi":"https://hi.vidhyamitra.com/city/rishikesh/2031-05-21","x-default":"https://vidhyamitra.com/city/rishikesh/2031-05-21"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-15T07:21:26.889Z","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":"2026-05-15T07:21:26.889Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-15T07:21:26.889Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}