{"id":"vidhyamitra:city-day:vrindavan:2064-05-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/vrindavan/2064-05-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2064-05-13","date_display":"May 13, 2064 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":2064,"month":5,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2475053.770833,"kali_year":5166,"ahargana":1886588.2708,"sun":{"sidereal_longitude":28.1913,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":349.0461,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":27,"name":"Dvādaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Dvādaśī","elongation_degrees":320.8548,"elapsed_within_tithi_degrees":8.8548},"nakshatra":{"number":27,"name":"Revatī","pada":1,"moon_longitude":349.0461,"elapsed_within_degrees":2.3795},"yoga":{"number":2,"name":"Prīti","sum_longitude":17.2374},"karana":{"half_tithi_index":53,"name":"Taitila"},"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":2064,"month":5,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2475053.770833,"ahargana":1886588.2708,"kali_year":5166,"ayanamsa_lahiri":24.7521,"grahas":{"sun":{"sidereal_longitude":28.34660200000002,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":350.470302,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":2},"retrograde":false,"latitude":3.424},"mars":{"sidereal_longitude":47.43280199999998,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":4.16510199999999,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":155.56510200000002,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":3},"retrograde":true},"venus":{"sidereal_longitude":24.45620200000002,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":89.73410200000001,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":299.4745,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":119.4745,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Āśleṣā","pada":4},"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":2064,"month":5,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2475053.770833,"kali_year":5166,"ahargana":1886588.2708,"sun":{"sidereal_longitude":28.1913,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":349.0461,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":27,"name":"Dvādaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Dvādaśī","elongation_degrees":320.8548,"elapsed_within_tithi_degrees":8.8548},"nakshatra":{"number":27,"name":"Revatī","pada":1,"moon_longitude":349.0461,"elapsed_within_degrees":2.3795},"yoga":{"number":2,"name":"Prīti","sum_longitude":17.2374},"karana":{"half_tithi_index":53,"name":"Taitila"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":3.424,"elongation":39.145},"lunar":{"type":"lunar","occurs":false,"moon_latitude":3.424,"opposition_distance":140.855}},"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":"05:31","sunsetLocal":"19:00","solarNoonLocal":"12:16","dayLengthHours":13.479202136629958,"dayLengthDisplay":"13 Hours 28 Mins 45 Secs","nightLengthDisplay":"10 Hours 31 Mins 15 Secs","moonriseLocal":"03:29","moonsetLocal":"15:59","rahuKala":{"name":"Rāhu Kāla","start":"15:38","end":"17:19","startHours":15.629956555098218,"endHours":17.31485682217696,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"08:53","end":"10:35","startHours":8.890355486783239,"endHours":10.575255753861983,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:16","end":"13:57","startHours":12.260156020940727,"endHours":13.945056288019472,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:40","end":"09:07","startHours":8.665702117839405,"endHours":9.115008855727071,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:05","end":"06:26","startHours":6.08218837498533,"endHours":6.441633765295462,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:49","end":"12:43","startHours":11.810849283053061,"endHours":12.709462758828392,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:43","end":"04:37","startHours":3.7233280010750875,"endHours":4.621941476850418,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:24","end":"05:31","startHours":4.3972881079065855,"endHours":5.520554952625749,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:30","end":"15:24","startHours":14.506689710379053,"endHours":15.405303186154384,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:48","end":"19:12","startHours":18.799757089255706,"endHours":19.199757089255705,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:00","end":"19:34","startHours":18.999757089255706,"endHours":19.561390511615286,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:45","end":"20:30","startHours":18.749757089255706,"endHours":20.499757089255706,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:49","end":"00:43","startHours":23.810849283053063,"endHours":24.70946275882839,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"05:31","end":"07:12","startHours":5.520554952625749,"endHours":7.205455219704493,"quality":"inauspicious"},{"name":"Udveg","start":"07:12","end":"08:53","startHours":7.205455219704493,"endHours":8.890355486783239,"quality":"inauspicious"},{"name":"Chala","start":"08:53","end":"10:35","startHours":8.890355486783239,"endHours":10.575255753861983,"quality":"neutral"},{"name":"Labha","start":"10:35","end":"12:16","startHours":10.575255753861983,"endHours":12.260156020940727,"quality":"auspicious"},{"name":"Amṛta","start":"12:16","end":"13:57","startHours":12.260156020940727,"endHours":13.945056288019472,"quality":"auspicious"},{"name":"Kāla","start":"13:57","end":"15:38","startHours":13.945056288019472,"endHours":15.629956555098218,"quality":"inauspicious"},{"name":"Śubha","start":"15:38","end":"17:19","startHours":15.629956555098218,"endHours":17.31485682217696,"quality":"auspicious"},{"name":"Roga","start":"17:19","end":"19:00","startHours":17.31485682217696,"endHours":18.999757089255706,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"19:00","end":"20:19","startHours":18.999757089255706,"endHours":20.31485682217696,"quality":"inauspicious"},{"name":"Śubha","start":"20:19","end":"21:38","startHours":20.31485682217696,"endHours":21.629956555098218,"quality":"auspicious"},{"name":"Roga","start":"21:38","end":"22:57","startHours":21.629956555098218,"endHours":22.945056288019472,"quality":"inauspicious"},{"name":"Udveg","start":"22:57","end":"00:16","startHours":22.945056288019472,"endHours":24.260156020940727,"quality":"inauspicious"},{"name":"Chala","start":"00:16","end":"01:35","startHours":24.260156020940727,"endHours":25.57525575386198,"quality":"neutral"},{"name":"Labha","start":"01:35","end":"02:53","startHours":25.57525575386198,"endHours":26.890355486783236,"quality":"auspicious"},{"name":"Amṛta","start":"02:53","end":"04:12","startHours":26.890355486783236,"endHours":28.205455219704493,"quality":"auspicious"},{"name":"Kāla","start":"04:12","end":"05:31","startHours":28.205455219704493,"endHours":29.520554952625748,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:31","end":"06:31","startHours":5.520554952625749,"endHours":6.520554952625749,"planetary_lord":"Mars"},{"name":"Hora 2","start":"06:31","end":"07:31","startHours":6.520554952625749,"endHours":7.520554952625749,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"07:31","end":"08:31","startHours":7.520554952625749,"endHours":8.520554952625748,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"08:31","end":"09:31","startHours":8.520554952625748,"endHours":9.520554952625748,"planetary_lord":"Moon"},{"name":"Hora 5","start":"09:31","end":"10:31","startHours":9.520554952625748,"endHours":10.520554952625748,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"10:31","end":"11:31","startHours":10.520554952625748,"endHours":11.520554952625748,"planetary_lord":"Venus"},{"name":"Hora 7","start":"11:31","end":"12:31","startHours":11.520554952625748,"endHours":12.520554952625748,"planetary_lord":"Sun"},{"name":"Hora 8","start":"12:31","end":"13:31","startHours":12.520554952625748,"endHours":13.520554952625748,"planetary_lord":"Mars"},{"name":"Hora 9","start":"13:31","end":"14:31","startHours":13.520554952625748,"endHours":14.520554952625748,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"14:31","end":"15:31","startHours":14.520554952625748,"endHours":15.520554952625748,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"15:31","end":"16:31","startHours":15.520554952625748,"endHours":16.520554952625748,"planetary_lord":"Moon"},{"name":"Hora 12","start":"16:31","end":"17:31","startHours":16.520554952625748,"endHours":17.520554952625748,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"17:31","end":"18:31","startHours":17.520554952625748,"endHours":18.520554952625748,"planetary_lord":"Venus"},{"name":"Hora 14","start":"18:31","end":"19:31","startHours":18.520554952625748,"endHours":19.520554952625748,"planetary_lord":"Sun"},{"name":"Hora 15","start":"19:31","end":"20:31","startHours":19.520554952625748,"endHours":20.520554952625748,"planetary_lord":"Mars"},{"name":"Hora 16","start":"20:31","end":"21:31","startHours":20.520554952625748,"endHours":21.520554952625748,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"21:31","end":"22:31","startHours":21.520554952625748,"endHours":22.520554952625748,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"22:31","end":"23:31","startHours":22.520554952625748,"endHours":23.520554952625748,"planetary_lord":"Moon"},{"name":"Hora 19","start":"23:31","end":"00:31","startHours":23.520554952625748,"endHours":24.520554952625748,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"00:31","end":"01:31","startHours":24.520554952625748,"endHours":25.520554952625748,"planetary_lord":"Venus"},{"name":"Hora 21","start":"01:31","end":"02:31","startHours":25.520554952625748,"endHours":26.520554952625748,"planetary_lord":"Sun"},{"name":"Hora 22","start":"02:31","end":"03:31","startHours":26.520554952625748,"endHours":27.520554952625748,"planetary_lord":"Mars"},{"name":"Hora 23","start":"03:31","end":"04:31","startHours":27.520554952625748,"endHours":28.520554952625748,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"04:31","end":"05:31","startHours":28.520554952625748,"endHours":29.520554952625748,"planetary_lord":"Saturn"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"unfavorable_nakshatras":["Ārdrā","Punarvasu","Puṣya","Aśleṣā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Siṃha","Kanyā","Dhanu","Makara","Mīna"],"unfavorable_rashis":["Meṣa","Mithuna","Karka","Tulā","Vṛścika","Kumbha"]},"dishaShool":"North (Uttara)","chandraVasa":"South-West","rahuVasa":"North","anandadiYoga":{"name":"Dhvaja","quality":"Auspicious"},"tropicalRitu":"Vasanta (Spring) (tropical)","vedicRitu":"Vasanta (Spring)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":18.54534853211664,"eotMinutes":3.7534387435564067,"ayanamsa":24.7521}},"calendars":{"vikram_samvat":2121,"vikram_samvatsara":"Hemalambī","saka_samvat":1986,"saka_samvatsara":"Tāraṇa","bengali_samvat":1471,"malayalam_era":1240,"nanakshahi_year":595,"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":"Mēsha (Cittirai / Vaiśākhī)","ritu":"Grīṣma (Summer)","display_summary":"Jyeṣṭha Kṛṣṇa Dvādaśī · Vikram 2121 Hemalambī · Śaka 1986 Tāraṇa"},"festivals":[],"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":"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 13, 2064 CE · Vṛndāvana · Vidhyamitra","description":"May 13, 2064 CE for Vṛndāvana: Kṛṣṇa Dvādaśī, sūryodaya 05:31, sūryāsta 19:00.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/vrindavan/2064-05-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/vrindavan/2064-05-13","sa":"https://sa.vidhyamitra.com/city/vrindavan/2064-05-13","hi":"https://hi.vidhyamitra.com/city/vrindavan/2064-05-13","x-default":"https://vidhyamitra.com/city/vrindavan/2064-05-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-02T05:19:42.868Z","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":"2026-06-02T05:19:42.868Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-02T05:19:42.868Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}