{"id":"vidhyamitra:city-day:melbourne:1968-01-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/melbourne/1968-01-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1968-01-13","date_display":"January 13, 1968 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":1968,"month":1,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2439868.770833,"kali_year":5069,"ahargana":1851403.2708,"sun":{"sidereal_longitude":268.4489,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":56.7729,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":13,"name":"Trayodaśī","paksha":"Śukla","full_name":"Śukla Trayodaśī","elongation_degrees":148.324,"elapsed_within_tithi_degrees":4.324},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":2,"moon_longitude":56.7729,"elapsed_within_degrees":3.4395},"yoga":{"number":25,"name":"Brahma","sum_longitude":325.2217},"karana":{"half_tithi_index":24,"name":"Kaulava"},"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":1968,"month":1,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2439868.770833,"ahargana":1851403.2708,"kali_year":5069,"ayanamsa_lahiri":23.4064,"grahas":{"sun":{"sidereal_longitude":268.5057280000001,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":57.850127999999984,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":2},"retrograde":false,"latitude":3.5938},"mars":{"sidereal_longitude":309.84692800000005,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":278.327128,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":132.11582799999996,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":4},"retrograde":true},"venus":{"sidereal_longitude":230.37672799999996,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":343.910928,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":3.7451,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":183.7451,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","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":1968,"month":1,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2439868.770833,"kali_year":5069,"ahargana":1851403.2708,"sun":{"sidereal_longitude":268.4489,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":56.7729,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":13,"name":"Trayodaśī","paksha":"Śukla","full_name":"Śukla Trayodaśī","elongation_degrees":148.324,"elapsed_within_tithi_degrees":4.324},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":2,"moon_longitude":56.7729,"elapsed_within_degrees":3.4395},"yoga":{"number":25,"name":"Brahma","sum_longitude":325.2217},"karana":{"half_tithi_index":24,"name":"Kaulava"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":3.594,"elongation":148.324},"lunar":{"type":"lunar","occurs":false,"moon_latitude":3.594,"opposition_distance":31.676}},"eclipse_window_40days":[]},"city":{"slug":"melbourne","name":"Melbourne, Australia","lat":-37.8136,"lon":144.9631,"tz_offset_hours":10,"country":"AU","tier":"diaspora"},"tier2":{"city":{"slug":"melbourne","name":"Melbourne, Australia","lat":-37.8136,"lon":144.9631,"tz_offset_hours":10,"country":"AU","tier":"diaspora"},"sunriseLocal":"05:12","sunsetLocal":"19:45","solarNoonLocal":"12:29","dayLengthHours":14.552249919504874,"dayLengthDisplay":"14 Hours 33 Mins 08 Secs","nightLengthDisplay":"9 Hours 26 Mins 52 Secs","moonriseLocal":"17:40","moonsetLocal":"03:12","rahuKala":{"name":"Rāhu Kāla","start":"08:50","end":"10:40","startHours":8.84166304498001,"endHours":10.660694284918119,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"14:18","end":"16:07","startHours":14.298756764794337,"endHours":16.117788004732446,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"05:12","end":"07:01","startHours":5.203600565103792,"endHours":7.022631805041901,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:36","end":"09:05","startHours":8.599125546321595,"endHours":9.084200543638424,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"05:49","end":"06:12","startHours":5.809944311749828,"endHours":6.1980043096032915,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:00","end":"12:58","startHours":11.994650527539399,"endHours":12.964800522173057,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:16","end":"04:14","startHours":3.2633005758364755,"endHours":4.233450570470134,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"03:59","end":"05:12","startHours":3.990913071811719,"endHours":5.203600565103792,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:54","end":"15:53","startHours":14.905100511440374,"endHours":15.875250506074032,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"19:33","end":"19:57","startHours":19.555850484608666,"endHours":19.955850484608664,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:45","end":"20:22","startHours":19.755850484608665,"endHours":20.3621942312547,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"19:30","end":"21:15","startHours":19.505850484608665,"endHours":21.255850484608665,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:00","end":"00:58","startHours":23.9946505275394,"endHours":24.964800522173057,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"05:12","end":"07:01","startHours":5.203600565103792,"endHours":7.022631805041901,"quality":"inauspicious"},{"name":"Śubha","start":"07:01","end":"08:50","startHours":7.022631805041901,"endHours":8.84166304498001,"quality":"auspicious"},{"name":"Roga","start":"08:50","end":"10:40","startHours":8.84166304498001,"endHours":10.660694284918119,"quality":"inauspicious"},{"name":"Udveg","start":"10:40","end":"12:29","startHours":10.660694284918119,"endHours":12.479725524856228,"quality":"inauspicious"},{"name":"Chala","start":"12:29","end":"14:18","startHours":12.479725524856228,"endHours":14.298756764794337,"quality":"neutral"},{"name":"Labha","start":"14:18","end":"16:07","startHours":14.298756764794337,"endHours":16.117788004732446,"quality":"auspicious"},{"name":"Amṛta","start":"16:07","end":"17:56","startHours":16.117788004732446,"endHours":17.936819244670556,"quality":"auspicious"},{"name":"Kāla","start":"17:56","end":"19:45","startHours":17.936819244670556,"endHours":19.755850484608665,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"19:45","end":"20:56","startHours":19.755850484608665,"endHours":20.936819244670556,"quality":"auspicious"},{"name":"Amṛta","start":"20:56","end":"22:07","startHours":20.936819244670556,"endHours":22.117788004732446,"quality":"auspicious"},{"name":"Kāla","start":"22:07","end":"23:18","startHours":22.117788004732446,"endHours":23.298756764794337,"quality":"inauspicious"},{"name":"Śubha","start":"23:18","end":"00:29","startHours":23.298756764794337,"endHours":24.479725524856228,"quality":"auspicious"},{"name":"Roga","start":"00:29","end":"01:40","startHours":24.479725524856228,"endHours":25.66069428491812,"quality":"inauspicious"},{"name":"Udveg","start":"01:40","end":"02:50","startHours":25.66069428491812,"endHours":26.84166304498001,"quality":"inauspicious"},{"name":"Chala","start":"02:50","end":"04:01","startHours":26.84166304498001,"endHours":28.0226318050419,"quality":"neutral"},{"name":"Labha","start":"04:01","end":"05:12","startHours":28.0226318050419,"endHours":29.20360056510379,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:12","end":"06:12","startHours":5.203600565103792,"endHours":6.203600565103792,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"06:12","end":"07:12","startHours":6.203600565103792,"endHours":7.203600565103792,"planetary_lord":"Moon"},{"name":"Hora 3","start":"07:12","end":"08:12","startHours":7.203600565103792,"endHours":8.203600565103791,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"08:12","end":"09:12","startHours":8.203600565103791,"endHours":9.203600565103791,"planetary_lord":"Venus"},{"name":"Hora 5","start":"09:12","end":"10:12","startHours":9.203600565103791,"endHours":10.203600565103791,"planetary_lord":"Sun"},{"name":"Hora 6","start":"10:12","end":"11:12","startHours":10.203600565103791,"endHours":11.203600565103791,"planetary_lord":"Mars"},{"name":"Hora 7","start":"11:12","end":"12:12","startHours":11.203600565103791,"endHours":12.203600565103791,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"12:12","end":"13:12","startHours":12.203600565103791,"endHours":13.203600565103791,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"13:12","end":"14:12","startHours":13.203600565103791,"endHours":14.203600565103791,"planetary_lord":"Moon"},{"name":"Hora 10","start":"14:12","end":"15:12","startHours":14.203600565103791,"endHours":15.203600565103791,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"15:12","end":"16:12","startHours":15.203600565103791,"endHours":16.20360056510379,"planetary_lord":"Venus"},{"name":"Hora 12","start":"16:12","end":"17:12","startHours":16.20360056510379,"endHours":17.20360056510379,"planetary_lord":"Sun"},{"name":"Hora 13","start":"17:12","end":"18:12","startHours":17.20360056510379,"endHours":18.20360056510379,"planetary_lord":"Mars"},{"name":"Hora 14","start":"18:12","end":"19:12","startHours":18.20360056510379,"endHours":19.20360056510379,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"19:12","end":"20:12","startHours":19.20360056510379,"endHours":20.20360056510379,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"20:12","end":"21:12","startHours":20.20360056510379,"endHours":21.20360056510379,"planetary_lord":"Moon"},{"name":"Hora 17","start":"21:12","end":"22:12","startHours":21.20360056510379,"endHours":22.20360056510379,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"22:12","end":"23:12","startHours":22.20360056510379,"endHours":23.20360056510379,"planetary_lord":"Venus"},{"name":"Hora 19","start":"23:12","end":"00:12","startHours":23.20360056510379,"endHours":24.20360056510379,"planetary_lord":"Sun"},{"name":"Hora 20","start":"00:12","end":"01:12","startHours":24.20360056510379,"endHours":25.20360056510379,"planetary_lord":"Mars"},{"name":"Hora 21","start":"01:12","end":"02:12","startHours":25.20360056510379,"endHours":26.20360056510379,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"02:12","end":"03:12","startHours":26.20360056510379,"endHours":27.20360056510379,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"03:12","end":"04:12","startHours":27.20360056510379,"endHours":28.20360056510379,"planetary_lord":"Moon"},{"name":"Hora 24","start":"04:12","end":"05:12","startHours":28.20360056510379,"endHours":29.20360056510379,"planetary_lord":"Mercury"}],"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":["Vṛṣabha","Karka","Tulā","Vṛścika","Kumbha","Mīna"],"unfavorable_rashis":["Meṣa","Mithuna","Siṃha","Kanyā","Dhanu","Makara"]},"dishaShool":"East (Pūrva)","chandraVasa":"South-East","rahuVasa":"East","anandadiYoga":{"name":"Ānanda","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":-21.653907787962563,"eotMinutes":-8.635931491373626,"ayanamsa":23.4064}},"calendars":{"vikram_samvat":2025,"vikram_samvatsara":"Durmati","saka_samvat":1890,"saka_samvatsara":"Kīlaka","bengali_samvat":1375,"malayalam_era":1144,"nanakshahi_year":499,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Pauṣa","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":"Hemanta (Pre-winter)","display_summary":"Pauṣa Śukla Trayodaśī · Vikram 2025 Durmati · Śaka 1890 Kīlaka"},"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},{"id":"pradosha-vrata","name":"Pradoṣa Vrata","name_sanskrit":"प्रदोष व्रत","tradition":"Shaiva","associated_deity":"Śiva","significance":"Twilight worship of Śiva on Trayodaśī.","vrata":true,"detection":{"any_of":[{"tithi_number":13},{"tithi_number":28}]},"precedence":7}],"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":"melbourne"},"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, 1968 CE · Melbourne, Australia · Vidhyamitra","description":"January 13, 1968 CE for Melbourne, Australia: Śukla Trayodaśī, sūryodaya 05:12, sūryāsta 19:45.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/melbourne/1968-01-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/melbourne/1968-01-13","sa":"https://sa.vidhyamitra.com/city/melbourne/1968-01-13","hi":"https://hi.vidhyamitra.com/city/melbourne/1968-01-13","x-default":"https://vidhyamitra.com/city/melbourne/1968-01-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-03T01:58:37.187Z","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":"2026-06-03T01:58:37.187Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-03T01:58:37.187Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}