{"id":"vidhyamitra:city-day:rishikesh:2160-05-21:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2160-05-21","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2160-05-21","date_display":"May 21, 2160 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":2160,"month":5,"day":21,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2510124.770833,"kali_year":5262,"ahargana":1921659.2708,"sun":{"sidereal_longitude":34.0921,"rashi":2,"rashi_name":"Vṛṣabha"},"moon":{"sidereal_longitude":225.6048,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":16,"name":"Pratipada","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pratipada","elongation_degrees":191.5127,"elapsed_within_tithi_degrees":11.5127},"nakshatra":{"number":17,"name":"Anurādhā","pada":4,"moon_longitude":225.6048,"elapsed_within_degrees":12.2714},"yoga":{"number":20,"name":"Śiva","sum_longitude":259.6969},"karana":{"half_tithi_index":31,"name":"Kaulava"},"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":2160,"month":5,"day":21,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2510124.770833,"ahargana":1921659.2708,"kali_year":5262,"ayanamsa_lahiri":26.0935,"grahas":{"sun":{"sidereal_longitude":34.51223199999998,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":224.01713199999995,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":4},"retrograde":false,"latitude":-1.212},"mars":{"sidereal_longitude":59.29493200000002,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":37.89693199999999,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":4},"retrograde":true},"jupiter":{"sidereal_longitude":189.387432,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":1},"retrograde":true},"venus":{"sidereal_longitude":38.528031999999996,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":187.83523200000002,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":1},"retrograde":true},"rahu":{"sidereal_longitude":241.2442,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":61.2442,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","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":2160,"month":5,"day":21,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2510124.770833,"kali_year":5262,"ahargana":1921659.2708,"sun":{"sidereal_longitude":34.0921,"rashi":2,"rashi_name":"Vṛṣabha"},"moon":{"sidereal_longitude":225.6048,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":16,"name":"Pratipada","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pratipada","elongation_degrees":191.5127,"elapsed_within_tithi_degrees":11.5127},"nakshatra":{"number":17,"name":"Anurādhā","pada":4,"moon_longitude":225.6048,"elapsed_within_degrees":12.2714},"yoga":{"number":20,"name":"Śiva","sum_longitude":259.6969},"karana":{"half_tithi_index":31,"name":"Kaulava"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-1.212,"elongation":168.487},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-1.212,"opposition_distance":11.513}},"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":13.788203696474902,"dayLengthDisplay":"13 Hours 47 Mins 18 Secs","nightLengthDisplay":"10 Hours 12 Mins 42 Secs","moonriseLocal":"19:42","moonsetLocal":"06:00","rahuKala":{"name":"Rāhu Kāla","start":"12:13","end":"13:57","startHours":12.223169703625366,"endHours":13.94669516568473,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:03","end":"08:47","startHours":7.052593317447277,"endHours":8.776118779506639,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"10:30","end":"12:13","startHours":10.499644241566003,"endHours":12.223169703625366,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:33","end":"09:00","startHours":8.546315384565393,"endHours":9.005922174447889,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"05:54","end":"06:16","startHours":5.903576342741036,"endHours":6.271261774647034,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:46","end":"12:41","startHours":11.76356291374287,"endHours":12.682776493507863,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:29","end":"04:25","startHours":3.4906406958579277,"endHours":4.409854275622921,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:11","end":"05:20","startHours":4.180050880681673,"endHours":5.3290678553879145,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:31","end":"15:26","startHours":14.521203653037851,"endHours":15.440417232802846,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:55","end":"19:19","startHours":18.917271551862818,"endHours":19.317271551862817,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:07","end":"19:42","startHours":19.117271551862817,"endHours":19.69178003921594,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:52","end":"20:37","startHours":18.867271551862817,"endHours":20.617271551862817,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:46","end":"00:41","startHours":23.76356291374287,"endHours":24.682776493507863,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"05:20","end":"07:03","startHours":5.3290678553879145,"endHours":7.052593317447277,"quality":"auspicious"},{"name":"Amṛta","start":"07:03","end":"08:47","startHours":7.052593317447277,"endHours":8.776118779506639,"quality":"auspicious"},{"name":"Kāla","start":"08:47","end":"10:30","startHours":8.776118779506639,"endHours":10.499644241566003,"quality":"inauspicious"},{"name":"Śubha","start":"10:30","end":"12:13","startHours":10.499644241566003,"endHours":12.223169703625366,"quality":"auspicious"},{"name":"Roga","start":"12:13","end":"13:57","startHours":12.223169703625366,"endHours":13.94669516568473,"quality":"inauspicious"},{"name":"Udveg","start":"13:57","end":"15:40","startHours":13.94669516568473,"endHours":15.67022062774409,"quality":"inauspicious"},{"name":"Chala","start":"15:40","end":"17:24","startHours":15.67022062774409,"endHours":17.393746089803454,"quality":"neutral"},{"name":"Labha","start":"17:24","end":"19:07","startHours":17.393746089803454,"endHours":19.117271551862817,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"19:07","end":"20:24","startHours":19.117271551862817,"endHours":20.393746089803454,"quality":"inauspicious"},{"name":"Chala","start":"20:24","end":"21:40","startHours":20.393746089803454,"endHours":21.670220627744094,"quality":"neutral"},{"name":"Labha","start":"21:40","end":"22:57","startHours":21.670220627744094,"endHours":22.94669516568473,"quality":"auspicious"},{"name":"Amṛta","start":"22:57","end":"00:13","startHours":22.94669516568473,"endHours":24.223169703625366,"quality":"auspicious"},{"name":"Kāla","start":"00:13","end":"01:30","startHours":24.223169703625366,"endHours":25.499644241566003,"quality":"inauspicious"},{"name":"Śubha","start":"01:30","end":"02:47","startHours":25.499644241566003,"endHours":26.77611877950664,"quality":"auspicious"},{"name":"Roga","start":"02:47","end":"04:03","startHours":26.77611877950664,"endHours":28.05259331744728,"quality":"inauspicious"},{"name":"Udveg","start":"04:03","end":"05:20","startHours":28.05259331744728,"endHours":29.329067855387915,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:20","end":"06:20","startHours":5.3290678553879145,"endHours":6.3290678553879145,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"06:20","end":"07:20","startHours":6.3290678553879145,"endHours":7.3290678553879145,"planetary_lord":"Venus"},{"name":"Hora 3","start":"07:20","end":"08:20","startHours":7.3290678553879145,"endHours":8.329067855387915,"planetary_lord":"Sun"},{"name":"Hora 4","start":"08:20","end":"09:20","startHours":8.329067855387915,"endHours":9.329067855387915,"planetary_lord":"Mars"},{"name":"Hora 5","start":"09:20","end":"10:20","startHours":9.329067855387915,"endHours":10.329067855387915,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"10:20","end":"11:20","startHours":10.329067855387915,"endHours":11.329067855387915,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"11:20","end":"12:20","startHours":11.329067855387915,"endHours":12.329067855387915,"planetary_lord":"Moon"},{"name":"Hora 8","start":"12:20","end":"13:20","startHours":12.329067855387915,"endHours":13.329067855387915,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"13:20","end":"14:20","startHours":13.329067855387915,"endHours":14.329067855387915,"planetary_lord":"Venus"},{"name":"Hora 10","start":"14:20","end":"15:20","startHours":14.329067855387915,"endHours":15.329067855387915,"planetary_lord":"Sun"},{"name":"Hora 11","start":"15:20","end":"16:20","startHours":15.329067855387915,"endHours":16.329067855387915,"planetary_lord":"Mars"},{"name":"Hora 12","start":"16:20","end":"17:20","startHours":16.329067855387915,"endHours":17.329067855387915,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"17:20","end":"18:20","startHours":17.329067855387915,"endHours":18.329067855387915,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"18:20","end":"19:20","startHours":18.329067855387915,"endHours":19.329067855387915,"planetary_lord":"Moon"},{"name":"Hora 15","start":"19:20","end":"20:20","startHours":19.329067855387915,"endHours":20.329067855387915,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"20:20","end":"21:20","startHours":20.329067855387915,"endHours":21.329067855387915,"planetary_lord":"Venus"},{"name":"Hora 17","start":"21:20","end":"22:20","startHours":21.329067855387915,"endHours":22.329067855387915,"planetary_lord":"Sun"},{"name":"Hora 18","start":"22:20","end":"23:20","startHours":22.329067855387915,"endHours":23.329067855387915,"planetary_lord":"Mars"},{"name":"Hora 19","start":"23:20","end":"00:20","startHours":23.329067855387915,"endHours":24.329067855387915,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"00:20","end":"01:20","startHours":24.329067855387915,"endHours":25.329067855387915,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"01:20","end":"02:20","startHours":25.329067855387915,"endHours":26.329067855387915,"planetary_lord":"Moon"},{"name":"Hora 22","start":"02:20","end":"03:20","startHours":26.329067855387915,"endHours":27.329067855387915,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"03:20","end":"04:20","startHours":27.329067855387915,"endHours":28.329067855387915,"planetary_lord":"Venus"},{"name":"Hora 24","start":"04:20","end":"05:20","startHours":28.329067855387915,"endHours":29.329067855387915,"planetary_lord":"Sun"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Revatī"],"unfavorable_nakshatras":["Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Citrā","Svātī","Viśākhā","Anurādhā","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Kanyā","Vṛścika","Makara"],"unfavorable_rashis":["Mithuna","Karka","Tulā","Dhanu","Kumbha","Mīna"]},"dishaShool":"North (Uttara)","chandraVasa":"North-East","rahuVasa":"South-West","anandadiYoga":{"name":"Ānanda","quality":"Auspicious"},"tropicalRitu":"Grīṣma (Summer) (tropical)","vedicRitu":"Vasanta (Spring)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":20.275192851543007,"eotMinutes":3.539417782478063,"ayanamsa":26.0935}},"calendars":{"vikram_samvat":2217,"vikram_samvatsara":"Śrīmukha","saka_samvat":2082,"saka_samvatsara":"Raudra","bengali_samvat":1567,"malayalam_era":1336,"nanakshahi_year":691,"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 Pratipada · Vikram 2217 Śrīmukha · Śaka 2082 Raudra"},"festivals":[{"id":"narada-jayanti","name":"Bhagavān Nārada Jayantī","name_sanskrit":"भगवान् नारद जयन्ती","tradition":"Vaishnava","associated_deity":"Devarṣi Nārada (ādi-bhakta · Vyāsa's guru)","significance":"Manifestation of Devarṣi Nārada — ādi-bhakta and tri-loka-saṅcāri who instructed Vyāsa to compose Śrīmad Bhāgavata. Without Nārada, no Bhāgavata; without Bhāgavata, no Krishna-tattva-pratiṣṭhā in Kali Yuga. Falls on Vaiśākha Kṛṣṇa Pratipadā (day after Buddha Pūrṇimā).","vrata":true,"primary_observance":"Recitation of Nārada-Bhakti-Sūtra; meditation on Krishna as taught by Nārada to Vyāsa (Bhāgavata 1.5)","detection":{"tithi_number":16,"tithi_paksha":"Kṛṣṇa","lunar_month":"Vaiśākha","lunar_month_system":"amanta"},"precedence":1,"sources":["Bhāgavata Purāṇa 1.5-6 (Nārada-Vyāsa-saṁvāda)","Nārada-Bhakti-Sūtra"]}],"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 21, 2160 CE · Ṛṣikeśa · Vidhyamitra","description":"May 21, 2160 CE for Ṛṣikeśa: Kṛṣṇa Pratipada, sūryodaya 05:20, sūryāsta 19:07.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2160-05-21","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2160-05-21","sa":"https://sa.vidhyamitra.com/city/rishikesh/2160-05-21","hi":"https://hi.vidhyamitra.com/city/rishikesh/2160-05-21","x-default":"https://vidhyamitra.com/city/rishikesh/2160-05-21"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T13:53:36.218Z","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":"2026-05-31T13:53:36.218Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T13:53:36.218Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}