{"id":"vidhyamitra:city-day:rishikesh:2109-05-18:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2109-05-18","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2109-05-18","date_display":"May 18, 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":18,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2491493.770833,"kali_year":5211,"ahargana":1903028.2708,"sun":{"sidereal_longitude":31.4085,"rashi":2,"rashi_name":"Vṛṣabha"},"moon":{"sidereal_longitude":255.4339,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":19,"name":"Caturthī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturthī","elongation_degrees":224.0254,"elapsed_within_tithi_degrees":8.0254},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1,"moon_longitude":255.4339,"elapsed_within_degrees":2.1006},"yoga":{"number":22,"name":"Sādhya","sum_longitude":286.8424},"karana":{"half_tithi_index":37,"name":"Bālava"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"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":18,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2491493.770833,"ahargana":1903028.2708,"kali_year":5211,"ayanamsa_lahiri":25.3809,"grahas":{"sun":{"sidereal_longitude":31.690174000000013,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":257.38897399999996,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2},"retrograde":false,"latitude":4.3023},"mars":{"sidereal_longitude":33.015174,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":4.664074000000028,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":84.66467399999999,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":2},"retrograde":false},"venus":{"sidereal_longitude":50.20277399999998,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":284.263474,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":2},"retrograde":true},"rahu":{"sidereal_longitude":148.4042,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":328.4042,"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":18,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2491493.770833,"kali_year":5211,"ahargana":1903028.2708,"sun":{"sidereal_longitude":31.4085,"rashi":2,"rashi_name":"Vṛṣabha"},"moon":{"sidereal_longitude":255.4339,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":19,"name":"Caturthī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturthī","elongation_degrees":224.0254,"elapsed_within_tithi_degrees":8.0254},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1,"moon_longitude":255.4339,"elapsed_within_degrees":2.1006},"yoga":{"number":22,"name":"Sādhya","sum_longitude":286.8424},"karana":{"half_tithi_index":37,"name":"Bālava"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.302,"elongation":135.975},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.302,"opposition_distance":44.025}},"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":"05:22","sunsetLocal":"19:05","solarNoonLocal":"12:13","dayLengthHours":13.718126525198077,"dayLengthDisplay":"13 Hours 43 Mins 05 Secs","nightLengthDisplay":"10 Hours 16 Mins 55 Secs","moonriseLocal":"22:09","moonsetLocal":"08:23","rahuKala":{"name":"Rāhu Kāla","start":"08:47","end":"10:30","startHours":8.79114199885932,"endHours":10.50590781450908,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"13:56","end":"15:39","startHours":13.935439445808598,"endHours":15.65020526145836,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"05:22","end":"07:05","startHours":5.361610367559801,"endHours":7.076376183209561,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:34","end":"09:01","startHours":8.562506556772686,"endHours":9.019777440945955,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"05:56","end":"06:18","startHours":5.933198972776387,"endHours":6.299015680115003,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:46","end":"12:41","startHours":11.763402745985571,"endHours":12.67794451433211,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:32","end":"04:27","startHours":3.532526830866724,"endHours":4.447068599213263,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:13","end":"05:22","startHours":4.218433157126628,"endHours":5.361610367559801,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:30","end":"15:25","startHours":14.507028051025184,"endHours":15.421569819371722,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:53","end":"19:17","startHours":18.87973689275788,"endHours":19.279736892757878,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:05","end":"19:39","startHours":19.07973689275788,"endHours":19.651325497974465,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:50","end":"20:35","startHours":18.82973689275788,"endHours":20.57973689275788,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:46","end":"00:41","startHours":23.763402745985573,"endHours":24.67794451433211,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"05:22","end":"07:05","startHours":5.361610367559801,"endHours":7.076376183209561,"quality":"inauspicious"},{"name":"Śubha","start":"07:05","end":"08:47","startHours":7.076376183209561,"endHours":8.79114199885932,"quality":"auspicious"},{"name":"Roga","start":"08:47","end":"10:30","startHours":8.79114199885932,"endHours":10.50590781450908,"quality":"inauspicious"},{"name":"Udveg","start":"10:30","end":"12:13","startHours":10.50590781450908,"endHours":12.220673630158839,"quality":"inauspicious"},{"name":"Chala","start":"12:13","end":"13:56","startHours":12.220673630158839,"endHours":13.935439445808598,"quality":"neutral"},{"name":"Labha","start":"13:56","end":"15:39","startHours":13.935439445808598,"endHours":15.65020526145836,"quality":"auspicious"},{"name":"Amṛta","start":"15:39","end":"17:22","startHours":15.65020526145836,"endHours":17.36497107710812,"quality":"auspicious"},{"name":"Kāla","start":"17:22","end":"19:05","startHours":17.36497107710812,"endHours":19.07973689275788,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"19:05","end":"20:22","startHours":19.07973689275788,"endHours":20.36497107710812,"quality":"auspicious"},{"name":"Amṛta","start":"20:22","end":"21:39","startHours":20.36497107710812,"endHours":21.65020526145836,"quality":"auspicious"},{"name":"Kāla","start":"21:39","end":"22:56","startHours":21.65020526145836,"endHours":22.9354394458086,"quality":"inauspicious"},{"name":"Śubha","start":"22:56","end":"00:13","startHours":22.9354394458086,"endHours":24.220673630158842,"quality":"auspicious"},{"name":"Roga","start":"00:13","end":"01:30","startHours":24.220673630158842,"endHours":25.50590781450908,"quality":"inauspicious"},{"name":"Udveg","start":"01:30","end":"02:47","startHours":25.50590781450908,"endHours":26.79114199885932,"quality":"inauspicious"},{"name":"Chala","start":"02:47","end":"04:05","startHours":26.79114199885932,"endHours":28.07637618320956,"quality":"neutral"},{"name":"Labha","start":"04:05","end":"05:22","startHours":28.07637618320956,"endHours":29.361610367559802,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:22","end":"06:22","startHours":5.361610367559801,"endHours":6.361610367559801,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"06:22","end":"07:22","startHours":6.361610367559801,"endHours":7.361610367559801,"planetary_lord":"Moon"},{"name":"Hora 3","start":"07:22","end":"08:22","startHours":7.361610367559801,"endHours":8.361610367559802,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"08:22","end":"09:22","startHours":8.361610367559802,"endHours":9.361610367559802,"planetary_lord":"Venus"},{"name":"Hora 5","start":"09:22","end":"10:22","startHours":9.361610367559802,"endHours":10.361610367559802,"planetary_lord":"Sun"},{"name":"Hora 6","start":"10:22","end":"11:22","startHours":10.361610367559802,"endHours":11.361610367559802,"planetary_lord":"Mars"},{"name":"Hora 7","start":"11:22","end":"12:22","startHours":11.361610367559802,"endHours":12.361610367559802,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"12:22","end":"13:22","startHours":12.361610367559802,"endHours":13.361610367559802,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"13:22","end":"14:22","startHours":13.361610367559802,"endHours":14.361610367559802,"planetary_lord":"Moon"},{"name":"Hora 10","start":"14:22","end":"15:22","startHours":14.361610367559802,"endHours":15.361610367559802,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"15:22","end":"16:22","startHours":15.361610367559802,"endHours":16.361610367559802,"planetary_lord":"Venus"},{"name":"Hora 12","start":"16:22","end":"17:22","startHours":16.361610367559802,"endHours":17.361610367559802,"planetary_lord":"Sun"},{"name":"Hora 13","start":"17:22","end":"18:22","startHours":17.361610367559802,"endHours":18.361610367559802,"planetary_lord":"Mars"},{"name":"Hora 14","start":"18:22","end":"19:22","startHours":18.361610367559802,"endHours":19.361610367559802,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"19:22","end":"20:22","startHours":19.361610367559802,"endHours":20.361610367559802,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"20:22","end":"21:22","startHours":20.361610367559802,"endHours":21.361610367559802,"planetary_lord":"Moon"},{"name":"Hora 17","start":"21:22","end":"22:22","startHours":21.361610367559802,"endHours":22.361610367559802,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"22:22","end":"23:22","startHours":22.361610367559802,"endHours":23.361610367559802,"planetary_lord":"Venus"},{"name":"Hora 19","start":"23:22","end":"00:22","startHours":23.361610367559802,"endHours":24.361610367559802,"planetary_lord":"Sun"},{"name":"Hora 20","start":"00:22","end":"01:22","startHours":24.361610367559802,"endHours":25.361610367559802,"planetary_lord":"Mars"},{"name":"Hora 21","start":"01:22","end":"02:22","startHours":25.361610367559802,"endHours":26.361610367559802,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"02:22","end":"03:22","startHours":26.361610367559802,"endHours":27.361610367559802,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"03:22","end":"04:22","startHours":27.361610367559802,"endHours":28.361610367559802,"planetary_lord":"Moon"},{"name":"Hora 24","start":"04:22","end":"05:22","startHours":28.361610367559802,"endHours":29.361610367559802,"planetary_lord":"Mercury"}],"taraBala":{"favorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Uttara Phalgunī","Hasta","Citrā","Svātī","Viśākhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Bhādrapadā","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":"East (Pūrva)","chandraVasa":"East","rahuVasa":"East","anandadiYoga":{"name":"Utpāta","quality":"Inauspicious"},"drikRitu":"Vasanta (Spring)","vedicRitu":"Vasanta (Spring)","drikAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":19.501708333238437,"eotMinutes":3.6891821904695723,"ayanamsa":25.3809}},"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 Kṛṣṇa Pakṣa","solar_month":"Vṛṣabha (Vaikāsi)","ritu":"Grīṣma (Summer)","display_summary":"Jyeṣṭha Kṛṣṇa Caturthī · 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},{"id":"sankashti-chaturthi","name":"Saṅkaṣṭī Caturthī","name_sanskrit":"सङ्कष्टी चतुर्थी","tradition":"Pan-Hindu","associated_deity":"Gaṇeśa","significance":"Monthly Gaṇeśa vrata.","vrata":true,"detection":{"tithi_number":19,"tithi_paksha":"Kṛṣṇa"},"precedence":6}],"todays_walk":{"walk":{"id":"shani-walk","name":"Śani Walk","name_sanskrit":"शनि यात्रा","type":"graha","description":"Tapas + endurance + BG 17.14-19.","step_count":7,"url":"/walk/shani-walk"},"reason":"Śanivāra (Saturday) — 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 18, 2109 CE · Ṛṣikeśa · Vidhyamitra","description":"May 18, 2109 CE for Ṛṣikeśa: Kṛṣṇa Caturthī, sūryodaya 05:22, sūryāsta 19:05.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2109-05-18","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2109-05-18","sa":"https://sa.vidhyamitra.com/city/rishikesh/2109-05-18","hi":"https://hi.vidhyamitra.com/city/rishikesh/2109-05-18","x-default":"https://vidhyamitra.com/city/rishikesh/2109-05-18"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-24T10:47:52.614Z","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":"2026-05-24T10:47:52.614Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-24T10:47:52.614Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}