{"id":"vidhyamitra:city-day:vrindavan:2120-05-20:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/vrindavan/2120-05-20","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2120-05-20","date_display":"May 20, 2120 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":2120,"month":5,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2495513.770833,"kali_year":5222,"ahargana":1907048.2708,"sun":{"sidereal_longitude":33.4704,"rashi":2,"rashi_name":"Vṛṣabha"},"moon":{"sidereal_longitude":300.9742,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":23,"name":"Aṣṭamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Aṣṭamī","elongation_degrees":267.5037,"elapsed_within_tithi_degrees":3.5037},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":3,"moon_longitude":300.9742,"elapsed_within_degrees":7.6409},"yoga":{"number":26,"name":"Indra","sum_longitude":334.4446},"karana":{"half_tithi_index":44,"name":"Bālava"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"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":2120,"month":5,"day":20,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2495513.770833,"ahargana":1907048.2708,"kali_year":5222,"ayanamsa_lahiri":25.5346,"grahas":{"sun":{"sidereal_longitude":33.791380000000004,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":302.95348,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":3},"retrograde":false,"latitude":0.4363},"mars":{"sidereal_longitude":358.59838,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":50.96307999999999,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":61.84168,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":3},"retrograde":false},"venus":{"sidereal_longitude":35.03928000000002,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":53.61717999999996,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":295.4053,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":115.4053,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Āśleṣā","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":2120,"month":5,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2495513.770833,"kali_year":5222,"ahargana":1907048.2708,"sun":{"sidereal_longitude":33.4704,"rashi":2,"rashi_name":"Vṛṣabha"},"moon":{"sidereal_longitude":300.9742,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":23,"name":"Aṣṭamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Aṣṭamī","elongation_degrees":267.5037,"elapsed_within_tithi_degrees":3.5037},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":3,"moon_longitude":300.9742,"elapsed_within_degrees":7.6409},"yoga":{"number":26,"name":"Indra","sum_longitude":334.4446},"karana":{"half_tithi_index":44,"name":"Bālava"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":0.436,"elongation":92.496},"lunar":{"type":"lunar","occurs":false,"moon_latitude":0.436,"opposition_distance":87.504}},"eclipse_window_40days":[]},"city":{"slug":"vrindavan","name":"Vṛndāvana","lat":27.565,"lon":77.6593,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tirtha"},"tier2":{"city":{"slug":"vrindavan","name":"Vṛndāvana","lat":27.565,"lon":77.6593,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tirtha"},"sunriseLocal":"05:28","sunsetLocal":"19:04","solarNoonLocal":"12:16","dayLengthHours":13.596693294378362,"dayLengthDisplay":"13 Hours 35 Mins 48 Secs","nightLengthDisplay":"10 Hours 24 Mins 12 Secs","moonriseLocal":"00:35","moonsetLocal":"11:50","rahuKala":{"name":"Rāhu Kāla","start":"07:10","end":"08:52","startHours":7.16398146433836,"endHours":8.863568126135656,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"10:34","end":"12:16","startHours":10.563154787932952,"endHours":12.262741449730246,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"13:58","end":"15:40","startHours":13.96232811152754,"endHours":15.661914773324837,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:38","end":"09:05","startHours":8.63695657122935,"endHours":9.090179681041962,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:02","end":"06:24","startHours":6.03092368980683,"endHours":6.393502177656919,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:49","end":"12:43","startHours":11.809518339917634,"endHours":12.715964559542858,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:39","end":"04:33","startHours":3.651502363290617,"endHours":4.5579485829158415,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:20","end":"05:28","startHours":4.331337028009536,"endHours":5.464394802541065,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:32","end":"15:26","startHours":14.528856998793305,"endHours":15.435303218418529,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:52","end":"19:16","startHours":18.861088096919428,"endHours":19.261088096919426,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:04","end":"19:38","startHours":19.061088096919427,"endHours":19.62761698418519,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:49","end":"20:34","startHours":18.811088096919427,"endHours":20.561088096919427,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:49","end":"00:43","startHours":23.809518339917634,"endHours":24.715964559542858,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"05:28","end":"07:10","startHours":5.464394802541065,"endHours":7.16398146433836,"quality":"auspicious"},{"name":"Kāla","start":"07:10","end":"08:52","startHours":7.16398146433836,"endHours":8.863568126135656,"quality":"inauspicious"},{"name":"Śubha","start":"08:52","end":"10:34","startHours":8.863568126135656,"endHours":10.563154787932952,"quality":"auspicious"},{"name":"Roga","start":"10:34","end":"12:16","startHours":10.563154787932952,"endHours":12.262741449730246,"quality":"inauspicious"},{"name":"Udveg","start":"12:16","end":"13:58","startHours":12.262741449730246,"endHours":13.96232811152754,"quality":"inauspicious"},{"name":"Chala","start":"13:58","end":"15:40","startHours":13.96232811152754,"endHours":15.661914773324837,"quality":"neutral"},{"name":"Labha","start":"15:40","end":"17:22","startHours":15.661914773324837,"endHours":17.361501435122133,"quality":"auspicious"},{"name":"Amṛta","start":"17:22","end":"19:04","startHours":17.361501435122133,"endHours":19.061088096919427,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"19:04","end":"20:22","startHours":19.061088096919427,"endHours":20.361501435122133,"quality":"neutral"},{"name":"Labha","start":"20:22","end":"21:40","startHours":20.361501435122133,"endHours":21.66191477332484,"quality":"auspicious"},{"name":"Amṛta","start":"21:40","end":"22:58","startHours":21.66191477332484,"endHours":22.96232811152754,"quality":"auspicious"},{"name":"Kāla","start":"22:58","end":"00:16","startHours":22.96232811152754,"endHours":24.262741449730246,"quality":"inauspicious"},{"name":"Śubha","start":"00:16","end":"01:34","startHours":24.262741449730246,"endHours":25.56315478793295,"quality":"auspicious"},{"name":"Roga","start":"01:34","end":"02:52","startHours":25.56315478793295,"endHours":26.863568126135654,"quality":"inauspicious"},{"name":"Udveg","start":"02:52","end":"04:10","startHours":26.863568126135654,"endHours":28.16398146433836,"quality":"inauspicious"},{"name":"Chala","start":"04:10","end":"05:28","startHours":28.16398146433836,"endHours":29.464394802541065,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"05:28","end":"06:28","startHours":5.464394802541065,"endHours":6.464394802541065,"planetary_lord":"Moon"},{"name":"Hora 2","start":"06:28","end":"07:28","startHours":6.464394802541065,"endHours":7.464394802541065,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"07:28","end":"08:28","startHours":7.464394802541065,"endHours":8.464394802541065,"planetary_lord":"Venus"},{"name":"Hora 4","start":"08:28","end":"09:28","startHours":8.464394802541065,"endHours":9.464394802541065,"planetary_lord":"Sun"},{"name":"Hora 5","start":"09:28","end":"10:28","startHours":9.464394802541065,"endHours":10.464394802541065,"planetary_lord":"Mars"},{"name":"Hora 6","start":"10:28","end":"11:28","startHours":10.464394802541065,"endHours":11.464394802541065,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"11:28","end":"12:28","startHours":11.464394802541065,"endHours":12.464394802541065,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"12:28","end":"13:28","startHours":12.464394802541065,"endHours":13.464394802541065,"planetary_lord":"Moon"},{"name":"Hora 9","start":"13:28","end":"14:28","startHours":13.464394802541065,"endHours":14.464394802541065,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"14:28","end":"15:28","startHours":14.464394802541065,"endHours":15.464394802541065,"planetary_lord":"Venus"},{"name":"Hora 11","start":"15:28","end":"16:28","startHours":15.464394802541065,"endHours":16.464394802541065,"planetary_lord":"Sun"},{"name":"Hora 12","start":"16:28","end":"17:28","startHours":16.464394802541065,"endHours":17.464394802541065,"planetary_lord":"Mars"},{"name":"Hora 13","start":"17:28","end":"18:28","startHours":17.464394802541065,"endHours":18.464394802541065,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"18:28","end":"19:28","startHours":18.464394802541065,"endHours":19.464394802541065,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"19:28","end":"20:28","startHours":19.464394802541065,"endHours":20.464394802541065,"planetary_lord":"Moon"},{"name":"Hora 16","start":"20:28","end":"21:28","startHours":20.464394802541065,"endHours":21.464394802541065,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"21:28","end":"22:28","startHours":21.464394802541065,"endHours":22.464394802541065,"planetary_lord":"Venus"},{"name":"Hora 18","start":"22:28","end":"23:28","startHours":22.464394802541065,"endHours":23.464394802541065,"planetary_lord":"Sun"},{"name":"Hora 19","start":"23:28","end":"00:28","startHours":23.464394802541065,"endHours":24.464394802541065,"planetary_lord":"Mars"},{"name":"Hora 20","start":"00:28","end":"01:28","startHours":24.464394802541065,"endHours":25.464394802541065,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"01:28","end":"02:28","startHours":25.464394802541065,"endHours":26.464394802541065,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"02:28","end":"03:28","startHours":26.464394802541065,"endHours":27.464394802541065,"planetary_lord":"Moon"},{"name":"Hora 23","start":"03:28","end":"04:28","startHours":27.464394802541065,"endHours":28.464394802541065,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"04:28","end":"05:28","startHours":28.464394802541065,"endHours":29.464394802541065,"planetary_lord":"Venus"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Maghā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Karka","Siṃha","Vṛścika","Dhanu","Kumbha"],"unfavorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Tulā","Makara","Mīna"]},"dishaShool":"East (Pūrva)","chandraVasa":"South","rahuVasa":"North-East","anandadiYoga":{"name":"Sushira","quality":"Auspicious"},"tropicalRitu":"Vasanta (Spring)","vedicRitu":"Vasanta (Spring)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":20.003844773862802,"eotMinutes":3.5983130161851964,"ayanamsa":25.5346}},"calendars":{"vikram_samvat":2177,"vikram_samvatsara":"Vijaya","saka_samvat":2042,"saka_samvatsara":"Vikrama","bengali_samvat":1527,"malayalam_era":1296,"nanakshahi_year":651,"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 Aṣṭamī · Vikram 2177 Vijaya · Śaka 2042 Vikrama"},"festivals":[],"todays_walk":{"walk":{"id":"chandra-walk","name":"Candra Walk","name_sanskrit":"चन्द्र यात्रा","type":"graha","description":"Manas-control + BG 6.5-7.","step_count":5,"url":"/walk/chandra-walk"},"reason":"Somavāra (Monday) — 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 Kṛṣṇa Aṣṭamī","url":"/day/-3226-07-09","relevance":0.5}]},"validity":{"eternal":false,"location_specific":"vrindavan"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga May 20, 2120 CE · Vṛndāvana · Vidhyamitra","description":"May 20, 2120 CE for Vṛndāvana: Kṛṣṇa Aṣṭamī, sūryodaya 05:28, sūryāsta 19:04.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/vrindavan/2120-05-20","hreflang_alternates":{"en":"https://vidhyamitra.com/city/vrindavan/2120-05-20","sa":"https://sa.vidhyamitra.com/city/vrindavan/2120-05-20","hi":"https://hi.vidhyamitra.com/city/vrindavan/2120-05-20","x-default":"https://vidhyamitra.com/city/vrindavan/2120-05-20"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-02T05:58:37.908Z","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":"2026-06-02T05:58:37.908Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-02T05:58:37.908Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}