{"id":"vidhyamitra:city-day:rishikesh:1990-05-15:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/1990-05-15","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1990-05-15","date_display":"May 15, 1990 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":1990,"month":5,"day":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2448026.770833,"kali_year":5092,"ahargana":1859561.2708,"sun":{"sidereal_longitude":30.2511,"rashi":2,"rashi_name":"Vṛṣabha"},"moon":{"sidereal_longitude":271.6031,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":21,"name":"Ṣaṣṭhī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ṣaṣṭhī","elongation_degrees":241.352,"elapsed_within_tithi_degrees":1.352},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":2,"moon_longitude":271.6031,"elapsed_within_degrees":4.9364},"yoga":{"number":23,"name":"Śubha","sum_longitude":301.8542},"karana":{"half_tithi_index":40,"name":"Gara"},"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":1990,"month":5,"day":15,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2448026.770833,"ahargana":1859561.2708,"kali_year":5092,"ayanamsa_lahiri":23.7184,"grahas":{"sun":{"sidereal_longitude":30.24453299999999,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":267.87943300000006,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":1},"retrograde":false,"latitude":-1.5297},"mars":{"sidereal_longitude":324.37033299999996,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":14.484532999999999,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":1},"retrograde":true},"jupiter":{"sidereal_longitude":75.82163300000002,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":3},"retrograde":false},"venus":{"sidereal_longitude":348.731833,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":271.315933,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":2},"retrograde":true},"rahu":{"sidereal_longitude":291.495,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":111.495,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Āśleṣā","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":1990,"month":5,"day":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2448026.770833,"kali_year":5092,"ahargana":1859561.2708,"sun":{"sidereal_longitude":30.2511,"rashi":2,"rashi_name":"Vṛṣabha"},"moon":{"sidereal_longitude":271.6031,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":21,"name":"Ṣaṣṭhī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ṣaṣṭhī","elongation_degrees":241.352,"elapsed_within_tithi_degrees":1.352},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":2,"moon_longitude":271.6031,"elapsed_within_degrees":4.9364},"yoga":{"number":23,"name":"Śubha","sum_longitude":301.8542},"karana":{"half_tithi_index":40,"name":"Gara"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-1.53,"elongation":118.648},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-1.53,"opposition_distance":61.352}},"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":"05:24","sunsetLocal":"19:03","solarNoonLocal":"12:13","dayLengthHours":13.651802595152791,"dayLengthDisplay":"13 Hours 39 Mins 06 Secs","nightLengthDisplay":"10 Hours 20 Mins 54 Secs","moonriseLocal":"22:54","moonsetLocal":"09:13","rahuKala":{"name":"Rāhu Kāla","start":"15:38","end":"17:20","startHours":15.632507299856098,"endHours":17.338982624250196,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"08:48","end":"10:31","startHours":8.8066060022797,"endHours":10.5130813266738,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:13","end":"13:56","startHours":12.219556651067899,"endHours":13.926031975461997,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:35","end":"09:02","startHours":8.579075959027154,"endHours":9.034136045532248,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"05:58","end":"06:20","startHours":5.96248046162287,"endHours":6.326528530826945,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:46","end":"12:40","startHours":11.764496564562807,"endHours":12.674616737572991,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:34","end":"04:29","startHours":3.573415007471131,"endHours":4.483535180481318,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:15","end":"05:24","startHours":4.256005137228771,"endHours":5.3936553534915035,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:30","end":"15:24","startHours":14.494857083593365,"endHours":15.404977256603551,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:51","end":"19:15","startHours":18.845457948644295,"endHours":19.245457948644294,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:03","end":"19:37","startHours":19.045457948644295,"endHours":19.614283056775662,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:48","end":"20:33","startHours":18.795457948644295,"endHours":20.545457948644295,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:46","end":"00:40","startHours":23.764496564562805,"endHours":24.67461673757299,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"05:24","end":"07:06","startHours":5.3936553534915035,"endHours":7.100130677885602,"quality":"inauspicious"},{"name":"Udveg","start":"07:06","end":"08:48","startHours":7.100130677885602,"endHours":8.8066060022797,"quality":"inauspicious"},{"name":"Chala","start":"08:48","end":"10:31","startHours":8.8066060022797,"endHours":10.5130813266738,"quality":"neutral"},{"name":"Labha","start":"10:31","end":"12:13","startHours":10.5130813266738,"endHours":12.219556651067899,"quality":"auspicious"},{"name":"Amṛta","start":"12:13","end":"13:56","startHours":12.219556651067899,"endHours":13.926031975461997,"quality":"auspicious"},{"name":"Kāla","start":"13:56","end":"15:38","startHours":13.926031975461997,"endHours":15.632507299856098,"quality":"inauspicious"},{"name":"Śubha","start":"15:38","end":"17:20","startHours":15.632507299856098,"endHours":17.338982624250196,"quality":"auspicious"},{"name":"Roga","start":"17:20","end":"19:03","startHours":17.338982624250196,"endHours":19.045457948644295,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"19:03","end":"20:20","startHours":19.045457948644295,"endHours":20.338982624250196,"quality":"inauspicious"},{"name":"Śubha","start":"20:20","end":"21:38","startHours":20.338982624250196,"endHours":21.632507299856098,"quality":"auspicious"},{"name":"Roga","start":"21:38","end":"22:56","startHours":21.632507299856098,"endHours":22.926031975462,"quality":"inauspicious"},{"name":"Udveg","start":"22:56","end":"00:13","startHours":22.926031975462,"endHours":24.219556651067897,"quality":"inauspicious"},{"name":"Chala","start":"00:13","end":"01:31","startHours":24.219556651067897,"endHours":25.5130813266738,"quality":"neutral"},{"name":"Labha","start":"01:31","end":"02:48","startHours":25.5130813266738,"endHours":26.8066060022797,"quality":"auspicious"},{"name":"Amṛta","start":"02:48","end":"04:06","startHours":26.8066060022797,"endHours":28.100130677885602,"quality":"auspicious"},{"name":"Kāla","start":"04:06","end":"05:24","startHours":28.100130677885602,"endHours":29.393655353491503,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:24","end":"06:24","startHours":5.3936553534915035,"endHours":6.3936553534915035,"planetary_lord":"Mars"},{"name":"Hora 2","start":"06:24","end":"07:24","startHours":6.3936553534915035,"endHours":7.3936553534915035,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"07:24","end":"08:24","startHours":7.3936553534915035,"endHours":8.393655353491503,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"08:24","end":"09:24","startHours":8.393655353491503,"endHours":9.393655353491503,"planetary_lord":"Moon"},{"name":"Hora 5","start":"09:24","end":"10:24","startHours":9.393655353491503,"endHours":10.393655353491503,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"10:24","end":"11:24","startHours":10.393655353491503,"endHours":11.393655353491503,"planetary_lord":"Venus"},{"name":"Hora 7","start":"11:24","end":"12:24","startHours":11.393655353491503,"endHours":12.393655353491503,"planetary_lord":"Sun"},{"name":"Hora 8","start":"12:24","end":"13:24","startHours":12.393655353491503,"endHours":13.393655353491503,"planetary_lord":"Mars"},{"name":"Hora 9","start":"13:24","end":"14:24","startHours":13.393655353491503,"endHours":14.393655353491503,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"14:24","end":"15:24","startHours":14.393655353491503,"endHours":15.393655353491503,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"15:24","end":"16:24","startHours":15.393655353491503,"endHours":16.393655353491503,"planetary_lord":"Moon"},{"name":"Hora 12","start":"16:24","end":"17:24","startHours":16.393655353491503,"endHours":17.393655353491503,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"17:24","end":"18:24","startHours":17.393655353491503,"endHours":18.393655353491503,"planetary_lord":"Venus"},{"name":"Hora 14","start":"18:24","end":"19:24","startHours":18.393655353491503,"endHours":19.393655353491503,"planetary_lord":"Sun"},{"name":"Hora 15","start":"19:24","end":"20:24","startHours":19.393655353491503,"endHours":20.393655353491503,"planetary_lord":"Mars"},{"name":"Hora 16","start":"20:24","end":"21:24","startHours":20.393655353491503,"endHours":21.393655353491503,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"21:24","end":"22:24","startHours":21.393655353491503,"endHours":22.393655353491503,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"22:24","end":"23:24","startHours":22.393655353491503,"endHours":23.393655353491503,"planetary_lord":"Moon"},{"name":"Hora 19","start":"23:24","end":"00:24","startHours":23.393655353491503,"endHours":24.393655353491503,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"00:24","end":"01:24","startHours":24.393655353491503,"endHours":25.393655353491503,"planetary_lord":"Venus"},{"name":"Hora 21","start":"01:24","end":"02:24","startHours":25.393655353491503,"endHours":26.393655353491503,"planetary_lord":"Sun"},{"name":"Hora 22","start":"02:24","end":"03:24","startHours":26.393655353491503,"endHours":27.393655353491503,"planetary_lord":"Mars"},{"name":"Hora 23","start":"03:24","end":"04:24","startHours":27.393655353491503,"endHours":28.393655353491503,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"04:24","end":"05:24","startHours":28.393655353491503,"endHours":29.393655353491503,"planetary_lord":"Saturn"}],"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","Mithuna","Kanyā","Tulā","Dhanu","Kumbha"],"unfavorable_rashis":["Meṣa","Karka","Siṃha","Vṛścika","Makara","Mīna"]},"dishaShool":"North (Uttara)","chandraVasa":"East","rahuVasa":"North","anandadiYoga":{"name":"Ānanda","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":18.760985073401784,"eotMinutes":3.7562009359260493,"ayanamsa":23.7184}},"calendars":{"vikram_samvat":2047,"vikram_samvatsara":"Subhānu","saka_samvat":1912,"saka_samvatsara":"Pramoda","bengali_samvat":1397,"malayalam_era":1166,"nanakshahi_year":521,"lunar_month":"Jyeṣṭha","lunar_month_paksha_full":"Jyeṣṭha Kṛṣṇa Pakṣa","solar_month":"Vṛṣabha (Vaikāsi)","ritu":"Grīṣma (Summer)","display_summary":"Jyeṣṭha Kṛṣṇa Ṣaṣṭhī · Vikram 2047 Subhānu · Śaka 1912 Pramoda"},"festivals":[{"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":"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":"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 15, 1990 CE · Ṛṣikeśa · Vidhyamitra","description":"May 15, 1990 CE for Ṛṣikeśa: Kṛṣṇa Ṣaṣṭhī, sūryodaya 05:24, sūryāsta 19:03.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/1990-05-15","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/1990-05-15","sa":"https://sa.vidhyamitra.com/city/rishikesh/1990-05-15","hi":"https://hi.vidhyamitra.com/city/rishikesh/1990-05-15","x-default":"https://vidhyamitra.com/city/rishikesh/1990-05-15"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-18T00:12:41.807Z","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":"2026-05-18T00:12:41.807Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-18T00:12:41.807Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}