{"id":"vidhyamitra:city-day:berlin:1990-01-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/berlin/1990-01-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1990-01-13","date_display":"January 13, 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":1,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2447904.770833,"kali_year":5091,"ahargana":1859439.2708,"sun":{"sidereal_longitude":268.7646,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":113.282,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":18,"name":"Tṛtīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Tṛtīyā","elongation_degrees":204.5174,"elapsed_within_tithi_degrees":0.5174},"nakshatra":{"number":9,"name":"Āśleṣā","pada":2,"moon_longitude":113.282,"elapsed_within_degrees":6.6153},"yoga":{"number":2,"name":"Prīti","sum_longitude":22.0466},"karana":{"half_tithi_index":34,"name":"Vaṇija"},"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":1990,"month":1,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2447904.770833,"ahargana":1859439.2708,"kali_year":5091,"ayanamsa_lahiri":23.7138,"grahas":{"sun":{"sidereal_longitude":268.86989399999993,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":112.05089399999997,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":2},"retrograde":false,"latitude":0.3666},"mars":{"sidereal_longitude":234.58459400000004,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":259.9116939999999,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2},"retrograde":true},"jupiter":{"sidereal_longitude":70.11309399999999,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":2},"retrograde":true},"venus":{"sidereal_longitude":278.44099400000005,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":4},"retrograde":true},"saturn":{"sidereal_longitude":263.079694,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":297.9592,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":117.9592,"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":1990,"month":1,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2447904.770833,"kali_year":5091,"ahargana":1859439.2708,"sun":{"sidereal_longitude":268.7646,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":113.282,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":18,"name":"Tṛtīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Tṛtīyā","elongation_degrees":204.5174,"elapsed_within_tithi_degrees":0.5174},"nakshatra":{"number":9,"name":"Āśleṣā","pada":2,"moon_longitude":113.282,"elapsed_within_degrees":6.6153},"yoga":{"number":2,"name":"Prīti","sum_longitude":22.0466},"karana":{"half_tithi_index":34,"name":"Vaṇija"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":0.367,"elongation":155.483},"lunar":{"type":"lunar","occurs":false,"moon_latitude":0.367,"opposition_distance":24.517}},"eclipse_window_40days":[{"offset_days":14,"type":"solar","occurs":true,"moon_latitude":-0.956,"elongation":1.82}]},"city":{"slug":"berlin","name":"Berlin, Germany","lat":52.52,"lon":13.405,"tz_offset_hours":1,"country":"DE","tier":"diaspora"},"tier2":{"city":{"slug":"berlin","name":"Berlin, Germany","lat":52.52,"lon":13.405,"tz_offset_hours":1,"country":"DE","tier":"diaspora"},"sunriseLocal":"08:12","sunsetLocal":"16:18","solarNoonLocal":"12:15","dayLengthHours":8.094707618187423,"dayLengthDisplay":"8 Hours 05 Mins 41 Secs","nightLengthDisplay":"15 Hours 54 Mins 19 Secs","moonriseLocal":"18:15","moonsetLocal":"09:21","rahuKala":{"name":"Rāhu Kāla","start":"10:14","end":"11:14","startHours":10.226588620309371,"endHours":11.2384270725828,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"13:16","end":"14:16","startHours":13.262103977129655,"endHours":14.273942429403084,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"08:12","end":"09:13","startHours":8.202911715762516,"endHours":9.214750168035945,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"10:06","end":"10:22","startHours":10.091676826672915,"endHours":10.36150041394583,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"08:32","end":"08:45","startHours":8.540191199853659,"endHours":8.756050069671991,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:59","end":"12:31","startHours":11.980441937583313,"endHours":12.52008911212914,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"07:07","end":"07:40","startHours":7.12361736667086,"endHours":7.663264541216688,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"07:32","end":"08:12","startHours":7.5283527475802305,"endHours":8.202911715762516,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:36","end":"14:08","startHours":13.599383461220798,"endHours":14.139030635766627,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"16:06","end":"16:30","startHours":16.09761933394994,"endHours":16.497619333949938,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"16:18","end":"16:38","startHours":16.29761933394994,"endHours":16.63489881804108,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"16:03","end":"17:48","startHours":16.04761933394994,"endHours":17.79761933394994,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:59","end":"00:31","startHours":23.98044193758331,"endHours":24.52008911212914,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"08:12","end":"09:13","startHours":8.202911715762516,"endHours":9.214750168035945,"quality":"inauspicious"},{"name":"Śubha","start":"09:13","end":"10:14","startHours":9.214750168035945,"endHours":10.226588620309371,"quality":"auspicious"},{"name":"Roga","start":"10:14","end":"11:14","startHours":10.226588620309371,"endHours":11.2384270725828,"quality":"inauspicious"},{"name":"Udveg","start":"11:14","end":"12:15","startHours":11.2384270725828,"endHours":12.250265524856228,"quality":"inauspicious"},{"name":"Chala","start":"12:15","end":"13:16","startHours":12.250265524856228,"endHours":13.262103977129655,"quality":"neutral"},{"name":"Labha","start":"13:16","end":"14:16","startHours":13.262103977129655,"endHours":14.273942429403084,"quality":"auspicious"},{"name":"Amṛta","start":"14:16","end":"15:17","startHours":14.273942429403084,"endHours":15.285780881676512,"quality":"auspicious"},{"name":"Kāla","start":"15:17","end":"16:18","startHours":15.285780881676512,"endHours":16.29761933394994,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"16:18","end":"18:17","startHours":16.29761933394994,"endHours":18.285780881676512,"quality":"auspicious"},{"name":"Amṛta","start":"18:17","end":"20:16","startHours":18.285780881676512,"endHours":20.273942429403082,"quality":"auspicious"},{"name":"Kāla","start":"20:16","end":"22:16","startHours":20.273942429403082,"endHours":22.262103977129655,"quality":"inauspicious"},{"name":"Śubha","start":"22:16","end":"00:15","startHours":22.262103977129655,"endHours":24.25026552485623,"quality":"auspicious"},{"name":"Roga","start":"00:15","end":"02:14","startHours":24.25026552485623,"endHours":26.2384270725828,"quality":"inauspicious"},{"name":"Udveg","start":"02:14","end":"04:14","startHours":26.2384270725828,"endHours":28.22658862030937,"quality":"inauspicious"},{"name":"Chala","start":"04:14","end":"06:13","startHours":28.22658862030937,"endHours":30.214750168035945,"quality":"neutral"},{"name":"Labha","start":"06:13","end":"08:12","startHours":30.214750168035945,"endHours":32.20291171576252,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"08:12","end":"09:12","startHours":8.202911715762516,"endHours":9.202911715762516,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"09:12","end":"10:12","startHours":9.202911715762516,"endHours":10.202911715762516,"planetary_lord":"Moon"},{"name":"Hora 3","start":"10:12","end":"11:12","startHours":10.202911715762516,"endHours":11.202911715762516,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"11:12","end":"12:12","startHours":11.202911715762516,"endHours":12.202911715762516,"planetary_lord":"Venus"},{"name":"Hora 5","start":"12:12","end":"13:12","startHours":12.202911715762516,"endHours":13.202911715762516,"planetary_lord":"Sun"},{"name":"Hora 6","start":"13:12","end":"14:12","startHours":13.202911715762516,"endHours":14.202911715762516,"planetary_lord":"Mars"},{"name":"Hora 7","start":"14:12","end":"15:12","startHours":14.202911715762516,"endHours":15.202911715762516,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"15:12","end":"16:12","startHours":15.202911715762516,"endHours":16.202911715762518,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"16:12","end":"17:12","startHours":16.202911715762518,"endHours":17.202911715762518,"planetary_lord":"Moon"},{"name":"Hora 10","start":"17:12","end":"18:12","startHours":17.202911715762518,"endHours":18.202911715762518,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"18:12","end":"19:12","startHours":18.202911715762518,"endHours":19.202911715762518,"planetary_lord":"Venus"},{"name":"Hora 12","start":"19:12","end":"20:12","startHours":19.202911715762518,"endHours":20.202911715762518,"planetary_lord":"Sun"},{"name":"Hora 13","start":"20:12","end":"21:12","startHours":20.202911715762518,"endHours":21.202911715762518,"planetary_lord":"Mars"},{"name":"Hora 14","start":"21:12","end":"22:12","startHours":21.202911715762518,"endHours":22.202911715762518,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"22:12","end":"23:12","startHours":22.202911715762518,"endHours":23.202911715762518,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"23:12","end":"00:12","startHours":23.202911715762518,"endHours":24.202911715762518,"planetary_lord":"Moon"},{"name":"Hora 17","start":"00:12","end":"01:12","startHours":24.202911715762518,"endHours":25.202911715762518,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"01:12","end":"02:12","startHours":25.202911715762518,"endHours":26.202911715762518,"planetary_lord":"Venus"},{"name":"Hora 19","start":"02:12","end":"03:12","startHours":26.202911715762518,"endHours":27.202911715762518,"planetary_lord":"Sun"},{"name":"Hora 20","start":"03:12","end":"04:12","startHours":27.202911715762518,"endHours":28.202911715762518,"planetary_lord":"Mars"},{"name":"Hora 21","start":"04:12","end":"05:12","startHours":28.202911715762518,"endHours":29.202911715762518,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"05:12","end":"06:12","startHours":29.202911715762518,"endHours":30.202911715762518,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"06:12","end":"07:12","startHours":30.202911715762518,"endHours":31.202911715762518,"planetary_lord":"Moon"},{"name":"Hora 24","start":"07:12","end":"08:12","startHours":31.202911715762518,"endHours":32.20291171576252,"planetary_lord":"Mercury"}],"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":["Meṣa","Vṛṣabha","Karka","Kanyā","Dhanu","Makara"],"unfavorable_rashis":["Mithuna","Siṃha","Tulā","Vṛścika","Kumbha","Mīna"]},"dishaShool":"East (Pūrva)","chandraVasa":"South-West","rahuVasa":"East","anandadiYoga":{"name":"Saumya","quality":"Auspicious"},"tropicalRitu":"Hemanta (Pre-winter) (tropical)","vedicRitu":"Hemanta (Pre-winter)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-21.545141326190677,"eotMinutes":-8.635931491373626,"ayanamsa":23.7138}},"calendars":{"vikram_samvat":2047,"vikram_samvatsara":"Subhānu","saka_samvat":1912,"saka_samvatsara":"Pramoda","bengali_samvat":1397,"malayalam_era":1166,"nanakshahi_year":521,"lunar_month":"Māgha","lunar_month_paksha_full":"Māgha Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Māgha","lunar_month_amanta":"Pauṣa","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Dhanus (Mārgaḻi)","ritu":"Śiśira (Winter)","display_summary":"Māgha Kṛṣṇa Tṛtīyā · Vikram 2047 Subhānu · Śaka 1912 Pramoda"},"festivals":[{"id":"lohri","name":"Lohri","name_sanskrit":"लोहड़ी","tradition":"Regional","significance":"Punjab harvest festival; eve of Makara Saṅkrānti.","vrata":false,"detection":{"sun_rashi_eve_of_ingress":"Makara"},"precedence":4}],"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":"berlin"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga January 13, 1990 CE · Berlin, Germany · Vidhyamitra","description":"January 13, 1990 CE for Berlin, Germany: Kṛṣṇa Tṛtīyā, sūryodaya 08:12, sūryāsta 16:18.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/berlin/1990-01-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/berlin/1990-01-13","sa":"https://sa.vidhyamitra.com/city/berlin/1990-01-13","hi":"https://hi.vidhyamitra.com/city/berlin/1990-01-13","x-default":"https://vidhyamitra.com/city/berlin/1990-01-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T02:50:02.290Z","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":"2026-06-01T02:50:02.290Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T02:50:02.290Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}