{"id":"vidhyamitra:city-day:rishikesh:2109-05-30:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2109-05-30","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2109-05-30","date_display":"May 30, 2109 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":2109,"month":5,"day":30,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2491505.770833,"kali_year":5211,"ahargana":1903040.2708,"sun":{"sidereal_longitude":42.8724,"rashi":2,"rashi_name":"Vṛṣabha"},"moon":{"sidereal_longitude":46.0095,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":1,"name":"Pratipada","paksha":"Śukla","full_name":"Śukla Pratipada","elongation_degrees":3.1371,"elapsed_within_tithi_degrees":3.1371},"nakshatra":{"number":4,"name":"Rohiṇī","pada":2,"moon_longitude":46.0095,"elapsed_within_degrees":6.0095},"yoga":{"number":7,"name":"Sukarma","sum_longitude":88.8819},"karana":{"half_tithi_index":0,"name":"Kiṃstughna"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"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":2109,"month":5,"day":30,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2491505.770833,"ahargana":1903040.2708,"kali_year":5211,"ayanamsa_lahiri":25.3813,"grahas":{"sun":{"sidereal_longitude":43.23181499999998,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":1},"retrograde":false},"moon":{"sidereal_longitude":45.64821499999999,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":2},"retrograde":false,"latitude":-4.4054},"mars":{"sidereal_longitude":41.50901499999998,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":18.199414999999988,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":86.799015,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":3},"retrograde":false},"venus":{"sidereal_longitude":64.81831499999998,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":284.19661500000007,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":2},"retrograde":true},"rahu":{"sidereal_longitude":147.7684,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":327.7684,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","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":2109,"month":5,"day":30,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2491505.770833,"kali_year":5211,"ahargana":1903040.2708,"sun":{"sidereal_longitude":42.8724,"rashi":2,"rashi_name":"Vṛṣabha"},"moon":{"sidereal_longitude":46.0095,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":1,"name":"Pratipada","paksha":"Śukla","full_name":"Śukla Pratipada","elongation_degrees":3.1371,"elapsed_within_tithi_degrees":3.1371},"nakshatra":{"number":4,"name":"Rohiṇī","pada":2,"moon_longitude":46.0095,"elapsed_within_degrees":6.0095},"yoga":{"number":7,"name":"Sukarma","sum_longitude":88.8819},"karana":{"half_tithi_index":0,"name":"Kiṃstughna"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.405,"elongation":3.137},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.405,"opposition_distance":176.863}},"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":"05:17","sunsetLocal":"19:12","solarNoonLocal":"12:14","dayLengthHours":13.923083813340018,"dayLengthDisplay":"13 Hours 55 Mins 23 Secs","nightLengthDisplay":"10 Hours 04 Mins 37 Secs","moonriseLocal":"05:27","moonsetLocal":"19:21","rahuKala":{"name":"Rāhu Kāla","start":"13:59","end":"15:43","startHours":13.978591081140276,"endHours":15.718976557807782,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"05:17","end":"07:01","startHours":5.276663697802767,"endHours":7.017049174470269,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"08:45","end":"10:30","startHours":8.757434651137771,"endHours":10.497820127805273,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:32","end":"08:59","startHours":8.525383254248771,"endHours":8.989486048026771,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"05:51","end":"06:14","startHours":5.856792190025267,"endHours":6.228074425047668,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:46","end":"12:42","startHours":11.774102810694776,"endHours":12.702308398250777,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:25","end":"04:21","startHours":3.4202525226907645,"endHours":4.348458110246765,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:07","end":"05:17","startHours":4.116406713357765,"endHours":5.276663697802767,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:34","end":"15:29","startHours":14.55871957336278,"endHours":15.48692516091878,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"19:00","end":"19:24","startHours":18.999747511142786,"endHours":19.399747511142785,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:12","end":"19:47","startHours":19.199747511142785,"endHours":19.779876003365285,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:57","end":"20:42","startHours":18.949747511142785,"endHours":20.699747511142785,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:46","end":"00:42","startHours":23.774102810694774,"endHours":24.702308398250775,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"05:17","end":"07:01","startHours":5.276663697802767,"endHours":7.017049174470269,"quality":"auspicious"},{"name":"Roga","start":"07:01","end":"08:45","startHours":7.017049174470269,"endHours":8.757434651137771,"quality":"inauspicious"},{"name":"Udveg","start":"08:45","end":"10:30","startHours":8.757434651137771,"endHours":10.497820127805273,"quality":"inauspicious"},{"name":"Chala","start":"10:30","end":"12:14","startHours":10.497820127805273,"endHours":12.238205604472775,"quality":"neutral"},{"name":"Labha","start":"12:14","end":"13:59","startHours":12.238205604472775,"endHours":13.978591081140276,"quality":"auspicious"},{"name":"Amṛta","start":"13:59","end":"15:43","startHours":13.978591081140276,"endHours":15.718976557807782,"quality":"auspicious"},{"name":"Kāla","start":"15:43","end":"17:28","startHours":15.718976557807782,"endHours":17.459362034475284,"quality":"inauspicious"},{"name":"Śubha","start":"17:28","end":"19:12","startHours":17.459362034475284,"endHours":19.199747511142785,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"19:12","end":"20:28","startHours":19.199747511142785,"endHours":20.459362034475284,"quality":"auspicious"},{"name":"Kāla","start":"20:28","end":"21:43","startHours":20.459362034475284,"endHours":21.718976557807782,"quality":"inauspicious"},{"name":"Śubha","start":"21:43","end":"22:59","startHours":21.718976557807782,"endHours":22.97859108114028,"quality":"auspicious"},{"name":"Roga","start":"22:59","end":"00:14","startHours":22.97859108114028,"endHours":24.238205604472775,"quality":"inauspicious"},{"name":"Udveg","start":"00:14","end":"01:30","startHours":24.238205604472775,"endHours":25.497820127805277,"quality":"inauspicious"},{"name":"Chala","start":"01:30","end":"02:45","startHours":25.497820127805277,"endHours":26.75743465113777,"quality":"neutral"},{"name":"Labha","start":"02:45","end":"04:01","startHours":26.75743465113777,"endHours":28.01704917447027,"quality":"auspicious"},{"name":"Amṛta","start":"04:01","end":"05:17","startHours":28.01704917447027,"endHours":29.276663697802768,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:17","end":"06:17","startHours":5.276663697802767,"endHours":6.276663697802767,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"06:17","end":"07:17","startHours":6.276663697802767,"endHours":7.276663697802767,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"07:17","end":"08:17","startHours":7.276663697802767,"endHours":8.276663697802768,"planetary_lord":"Moon"},{"name":"Hora 4","start":"08:17","end":"09:17","startHours":8.276663697802768,"endHours":9.276663697802768,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"09:17","end":"10:17","startHours":9.276663697802768,"endHours":10.276663697802768,"planetary_lord":"Venus"},{"name":"Hora 6","start":"10:17","end":"11:17","startHours":10.276663697802768,"endHours":11.276663697802768,"planetary_lord":"Sun"},{"name":"Hora 7","start":"11:17","end":"12:17","startHours":11.276663697802768,"endHours":12.276663697802768,"planetary_lord":"Mars"},{"name":"Hora 8","start":"12:17","end":"13:17","startHours":12.276663697802768,"endHours":13.276663697802768,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"13:17","end":"14:17","startHours":13.276663697802768,"endHours":14.276663697802768,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"14:17","end":"15:17","startHours":14.276663697802768,"endHours":15.276663697802768,"planetary_lord":"Moon"},{"name":"Hora 11","start":"15:17","end":"16:17","startHours":15.276663697802768,"endHours":16.276663697802768,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"16:17","end":"17:17","startHours":16.276663697802768,"endHours":17.276663697802768,"planetary_lord":"Venus"},{"name":"Hora 13","start":"17:17","end":"18:17","startHours":17.276663697802768,"endHours":18.276663697802768,"planetary_lord":"Sun"},{"name":"Hora 14","start":"18:17","end":"19:17","startHours":18.276663697802768,"endHours":19.276663697802768,"planetary_lord":"Mars"},{"name":"Hora 15","start":"19:17","end":"20:17","startHours":19.276663697802768,"endHours":20.276663697802768,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"20:17","end":"21:17","startHours":20.276663697802768,"endHours":21.276663697802768,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"21:17","end":"22:17","startHours":21.276663697802768,"endHours":22.276663697802768,"planetary_lord":"Moon"},{"name":"Hora 18","start":"22:17","end":"23:17","startHours":22.276663697802768,"endHours":23.276663697802768,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"23:17","end":"00:17","startHours":23.276663697802768,"endHours":24.276663697802768,"planetary_lord":"Venus"},{"name":"Hora 20","start":"00:17","end":"01:17","startHours":24.276663697802768,"endHours":25.276663697802768,"planetary_lord":"Sun"},{"name":"Hora 21","start":"01:17","end":"02:17","startHours":25.276663697802768,"endHours":26.276663697802768,"planetary_lord":"Mars"},{"name":"Hora 22","start":"02:17","end":"03:17","startHours":26.276663697802768,"endHours":27.276663697802768,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"03:17","end":"04:17","startHours":27.276663697802768,"endHours":28.276663697802768,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"04:17","end":"05:17","startHours":28.276663697802768,"endHours":29.276663697802768,"planetary_lord":"Moon"}],"taraBala":{"favorable_nakshatras":["Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Citrā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa"],"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":"South (Dakṣiṇa)","chandraVasa":"South-East","rahuVasa":"North-West","anandadiYoga":{"name":"Śubha","quality":"Auspicious"},"drikRitu":"Grīṣma (Summer) (Drik)","vedicRitu":"Vasanta (Spring)","drikAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":21.7368545777755,"eotMinutes":2.6372637316334417,"ayanamsa":25.3813}},"calendars":{"vikram_samvat":2166,"vikram_samvatsara":"Citrabhānu","saka_samvat":2031,"saka_samvatsara":"Śukla","bengali_samvat":1516,"malayalam_era":1285,"nanakshahi_year":640,"lunar_month":"Jyeṣṭha","lunar_month_paksha_full":"Jyeṣṭha Śukla Pakṣa","solar_month":"Vṛṣabha (Vaikāsi)","ritu":"Grīṣma (Summer)","display_summary":"Jyeṣṭha Śukla Pratipada · Vikram 2166 Citrabhānu · Śaka 2031 Śukla"},"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":"guru-walk","name":"Bṛhaspati Walk","name_sanskrit":"गुरु यात्रा","type":"graha","description":"Wisdom transmission + BG 4.34.","step_count":8,"url":"/walk/guru-walk"},"reason":"Guruvāra (Thursday) — its presiding graha's walk."},"cosmic_resonances":[{"historical_date":"-3226-07-09","event":"Bhagavān Krishna's birth at Mathurā","chart_id":"krishna","shared_marker":"same Rohiṇī","url":"/day/-3226-07-09","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 30, 2109 CE · Ṛṣikeśa · Vidhyamitra","description":"May 30, 2109 CE for Ṛṣikeśa: Śukla Pratipada, sūryodaya 05:17, sūryāsta 19:12.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2109-05-30","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2109-05-30","sa":"https://sa.vidhyamitra.com/city/rishikesh/2109-05-30","hi":"https://hi.vidhyamitra.com/city/rishikesh/2109-05-30","x-default":"https://vidhyamitra.com/city/rishikesh/2109-05-30"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-23T00:21:32.968Z","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":"2026-05-23T00:21:32.968Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-23T00:21:32.968Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}